18 Realiza las siguientes operaciones. $$ \begin{array}{l} ext { a. }\left(-\frac{12}{13} ight) imes\left(-\frac{7}{15} ight) \quad ext { f. }\left(-\frac{32}{11} ight) imes \frac{6}{25} \ ext { b. } \frac{35}{8} imes\left(-\frac{9}{31} ight) \quad ext { 9 }\left(-\frac{5}{6} ight) imes 5 \frac{7}{3} \ ext { c. }\left(-\frac{15}{26} ight) \div\left(-\frac{24}{7} ight) \quad ext { h. } \frac{1}{9} \div \frac{8}{9} \ ext { d. }\left(\left(-\frac{1}{2} ight) imes \frac{9}{7} ight) \div\left(\left(-\frac{11}{3} ight)+\frac{5}{12} ight) \ ext { c. }\left(\frac{15}{18}-\frac{3}{6} ight) imes\left(\left(-\frac{13}{25} ight)+\frac{5}{10} ight)\end{array} $$

Question

18 Realiza las siguientes operaciones. $$ \begin{array}{l}	ext { a. }\left(-\frac{12}{13}ight) 	imes\left(-\frac{7}{15}ight) \quad 	ext { f. }\left(-\frac{32}{11}ight) 	imes \frac{6}{25} \ 	ext { b. } \frac{35}{8} 	imes\left(-\frac{9}{31}ight) \quad 	ext { 9 }\left(-\frac{5}{6}ight) 	imes 5 \frac{7}{3} \ 	ext { c. }\left(-\frac{15}{26}ight) \div\left(-\frac{24}{7}ight) \quad 	ext { h. } \frac{1}{9} \div \frac{8}{9} \ 	ext { d. }\left(\left(-\frac{1}{2}ight) 	imes \frac{9}{7}ight) \div\left(\left(-\frac{11}{3}ight)+\frac{5}{12}ight) \ 	ext { c. }\left(\frac{15}{18}-\frac{3}{6}ight) 	imes\left(\left(-\frac{13}{25}ight)+\frac{5}{10}ight)\end{array} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{-5}{6}\right)\left(5+\frac{7}{3}\right)$$
- step1: Rewrite the fraction:
  $$\left(-\frac{5}{6}\right)\left(5+\frac{7}{3}\right)$$
- step2: Remove the parentheses:
  $$-\frac{5}{6}\left(5+\frac{7}{3}\right)$$
- step3: Add the numbers:
  $$-\frac{5}{6}\times \frac{22}{3}$$
- step4: Reduce the numbers:
  $$-\frac{5}{3}\times \frac{11}{3}$$
- step5: Multiply the fractions:
  $$-\frac{5\times 11}{3\times 3}$$
- step6: Multiply:
  $$-\frac{55}{9}$$
Calculate or simplify the expression $$ ((-13/25) + (5/10)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{-13}{25}\right)+\left(\frac{5}{10}\right)$$
- step1: Rewrite the fraction:
  $$\left(-\frac{13}{25}\right)+\left(\frac{5}{10}\right)$$
- step2: Remove the parentheses:
  $$-\frac{13}{25}+\left(\frac{5}{10}\right)$$
- step3: Reduce the fraction:
  $$-\frac{13}{25}+\frac{1}{2}$$
- step4: Reduce fractions to a common denominator:
  $$-\frac{13\times 2}{25\times 2}+\frac{25}{2\times 25}$$
- step5: Multiply the numbers:
  $$-\frac{13\times 2}{50}+\frac{25}{2\times 25}$$
- step6: Multiply the numbers:
  $$-\frac{13\times 2}{50}+\frac{25}{50}$$
- step7: Transform the expression:
  $$\frac{-13\times 2+25}{50}$$
- step8: Multiply the numbers:
  $$\frac{-26+25}{50}$$
- step9: Add the numbers:
  $$\frac{-1}{50}$$
- step10: Rewrite the fraction:
  $$-\frac{1}{50}$$
Calculate or simplify the expression $$ (35/8) * (-9/31) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{35}{8}\left(\frac{-9}{31}\right)$$
- step1: Rewrite the fraction:
  $$\frac{35}{8}\left(-\frac{9}{31}\right)$$
- step2: Multiply the numbers:
  $$-\frac{35}{8}\times \frac{9}{31}$$
- step3: Multiply the fractions:
  $$-\frac{35\times 9}{8\times 31}$$
- step4: Multiply:
  $$-\frac{315}{248}$$
Calculate or simplify the expression $$ ((-1/2) * (9/7)) / ((-11/3) + (5/12)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(\left(\frac{-1}{2}\right)\times \frac{9}{7}\right)}{\left(\left(\frac{-11}{3}\right)+\frac{5}{12}\right)}$$
- step1: Remove the parentheses:
  $$\frac{\left(\frac{-1}{2}\right)\times \frac{9}{7}}{\left(\frac{-11}{3}\right)+\frac{5}{12}}$$
- step2: Rewrite the fraction:
  $$\frac{\left(-\frac{1}{2}\right)\times \frac{9}{7}}{\left(\frac{-11}{3}\right)+\frac{5}{12}}$$
- step3: Remove the parentheses:
  $$\frac{-\frac{1}{2}\times \frac{9}{7}}{\left(\frac{-11}{3}\right)+\frac{5}{12}}$$
- step4: Rewrite the fraction:
  $$\frac{-\frac{1}{2}\times \frac{9}{7}}{\left(-\frac{11}{3}\right)+\frac{5}{12}}$$
- step5: Remove the parentheses:
  $$\frac{-\frac{1}{2}\times \frac{9}{7}}{-\frac{11}{3}+\frac{5}{12}}$$
- step6: Multiply the numbers:
  $$\frac{-\frac{9}{14}}{-\frac{11}{3}+\frac{5}{12}}$$
- step7: Add the numbers:
  $$\frac{-\frac{9}{14}}{-\frac{13}{4}}$$
- step8: Multiply by the reciprocal:
  $$-\frac{9}{14}\left(-\frac{4}{13}\right)$$
- step9: Use the rules for multiplication and division:
  $$\frac{9}{14}\times \frac{4}{13}$$
- step10: Reduce the numbers:
  $$\frac{9}{7}\times \frac{2}{13}$$
- step11: Multiply the fractions:
  $$\frac{9\times 2}{7\times 13}$$
- step12: Multiply:
  $$\frac{18}{91}$$
Calculate or simplify the expression $$ (-12/13) * (-7/15) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{-12}{13}\right)\left(\frac{-7}{15}\right)$$
- step1: Rewrite the fraction:
  $$\left(-\frac{12}{13}\right)\left(\frac{-7}{15}\right)$$
- step2: Remove the parentheses:
  $$-\frac{12}{13}\left(\frac{-7}{15}\right)$$
- step3: Rewrite the fraction:
  $$-\frac{12}{13}\left(-\frac{7}{15}\right)$$
- step4: Use the rules for multiplication and division:
  $$\frac{12}{13}\times \frac{7}{15}$$
- step5: Reduce the numbers:
  $$\frac{4}{13}\times \frac{7}{5}$$
- step6: Multiply the fractions:
  $$\frac{4\times 7}{13\times 5}$$
- step7: Multiply:
  $$\frac{28}{65}$$
Calculate or simplify the expression $$ (-32/11) * (6/25) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{-32}{11}\right)\times \frac{6}{25}$$
- step1: Rewrite the fraction:
  $$\left(-\frac{32}{11}\right)\times \frac{6}{25}$$
- step2: Remove the parentheses:
  $$-\frac{32}{11}\times \frac{6}{25}$$
- step3: Multiply the fractions:
  $$-\frac{32\times 6}{11\times 25}$$
- step4: Multiply:
  $$-\frac{192}{275}$$
Calculate or simplify the expression $$ (-15/26) / (-24/7) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(\frac{-15}{26}\right)}{\left(\frac{-24}{7}\right)}$$
- step1: Remove the parentheses:
  $$\frac{\frac{-15}{26}}{\frac{-24}{7}}$$
- step2: Rewrite the fraction:
  $$\frac{-\frac{15}{26}}{\frac{-24}{7}}$$
- step3: Rewrite the fraction:
  $$\frac{-\frac{15}{26}}{-\frac{24}{7}}$$
- step4: Multiply by the reciprocal:
  $$-\frac{15}{26}\left(-\frac{7}{24}\right)$$
- step5: Use the rules for multiplication and division:
  $$\frac{15}{26}\times \frac{7}{24}$$
- step6: Reduce the numbers:
  $$\frac{5}{26}\times \frac{7}{8}$$
- step7: Multiply the fractions:
  $$\frac{5\times 7}{26\times 8}$$
- step8: Multiply:
  $$\frac{35}{208}$$
Calculate or simplify the expression $$ (15/18) - (3/6) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{15}{18}\right)-\left(\frac{3}{6}\right)$$
- step1: Reduce the fraction:
  $$\frac{5}{6}-\left(\frac{3}{6}\right)$$
- step2: Reduce the fraction:
  $$\frac{5}{6}-\frac{1}{2}$$
- step3: Reduce fractions to a common denominator:
  $$\frac{5}{6}-\frac{3}{2\times 3}$$
- step4: Multiply the numbers:
  $$\frac{5}{6}-\frac{3}{6}$$
- step5: Transform the expression:
  $$\frac{5-3}{6}$$
- step6: Subtract the numbers:
  $$\frac{2}{6}$$
- step7: Reduce the fraction:
  $$\frac{1}{3}$$
Calculate or simplify the expression $$ (1/9) / (8/9) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\frac{1}{9}}{\frac{8}{9}}$$
- step1: Multiply by the reciprocal:
  $$\frac{1}{9}\times \frac{9}{8}$$
- step2: Reduce the numbers:
  $$1\times \frac{1}{8}$$
- step3: Multiply:
  $$\frac{1}{8}$$
Aquí están las soluciones a las operaciones solicitadas:

a. $$\left(-\frac{12}{13}\right) \times \left(-\frac{7}{15}\right)$$

$$
\frac{28}{65} \quad \text{(o aproximadamente } 0.433076923\text{)}
$$

b. $$\frac{35}{8} \times \left(-\frac{9}{31}\right)$$

$$
-\frac{315}{248} \quad \text{(o aproximadamente } -1.270161\text{)}
$$

c. $$\left(-\frac{15}{26}\right) \div \left(-\frac{24}{7}\right)$$

$$
\frac{35}{208} \quad \text{(o aproximadamente } 0.1682692307\text{)}
$$

d. $$\left(\left(-\frac{1}{2}\right) \times \frac{9}{7}\right) \div \left(\left(-\frac{11}{3}\right) + \frac{5}{12}\right)$$

$$
\frac{18}{91} \quad \text{(o aproximadamente } 0.197802\text{)}
$$

e. $$\left(\frac{15}{18} - \frac{3}{6}\right) \times \left(\left(-\frac{13}{25}\right) + \frac{5}{10}\right)$$

$$
\frac{1}{3} \quad \text{(o aproximadamente } 0.333\text{)}
$$

f. $$\left(-\frac{32}{11}\right) \times \frac{6}{25}$$

$$
-\frac{192}{275} \quad \text{(o aproximadamente } -0.698181818\text{)}
$$

g. $$\frac{1}{9} \div \frac{8}{9}$$

$$
\frac{1}{8} \quad \text{(o aproximadamente } 0.125\text{)}
$$

h. $$\left(-\frac{5}{6}\right) \times 5 \frac{7}{3}$$

$$
-\frac{55}{9} \quad \text{(o aproximadamente } -6.111\text{)}
$$

Si necesitas más detalles sobre algún cálculo específico, házmelo saber.
a. $$\frac{28}{65}$$ b. $$-\frac{315}{248}$$ c. $$\frac{35}{208}$$ d. $$\frac{18}{91}$$ e. $$\frac{1}{3}$$ f. $$-\frac{192}{275}$$ g. $$\frac{1}{8}$$ h. $$-\frac{55}{9}$$

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