Calculate the following fractions 1. $$ \frac{3}{10} imes \frac{5}{27} $$ 2. $$ \frac{50}{200} imes \frac{140}{150} $$

Question

Calculate the following fractions 1. $$ \frac{3}{10} 	imes \frac{5}{27} $$ 2. $$ \frac{50}{200} 	imes \frac{140}{150} $$

UpStudy AI · Accepted Answer

## 1. Calculation of $$ \frac{3}{10} \times \frac{5}{27} $$

1. Multiply the numerators and the denominators:
   $$
   \frac{3}{10} \times \frac{5}{27} = \frac{3 \times 5}{10 \times 27} = \frac{15}{270}
   $$

2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is $$15$$:
   $$
   \frac{15 \div 15}{270 \div 15} = \frac{1}{18}
   $$

Thus, the final answer is:
$$
\frac{1}{18}
$$

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## 2. Calculation of $$ \frac{50}{200} \times \frac{140}{150} $$

1. Simplify each fraction first.

For the first fraction:
   $$
   \frac{50}{200} = \frac{50 \div 50}{200 \div 50} = \frac{1}{4}
   $$

For the second fraction:
   $$
   \frac{140}{150} = \frac{140 \div 10}{150 \div 10} = \frac{14}{15}
   $$

2. Multiply the simplified fractions:
   $$
   \frac{1}{4} \times \frac{14}{15} = \frac{1 \times 14}{4 \times 15} = \frac{14}{60}
   $$

3. Simplify the resulting fraction by dividing the numerator and the denominator by their greatest common divisor, which is $$2$$:
   $$
   \frac{14 \div 2}{60 \div 2} = \frac{7}{30}
   $$

Thus, the final answer is:
$$
\frac{7}{30}
$$
1. $$ \frac{3}{10} \times \frac{5}{27} = \frac{1}{18} $$ 2. $$ \frac{50}{200} \times \frac{140}{150} = \frac{7}{30} $$

Calculate the following fractions 1. \( \frac{3}{10} \times \frac{5}{27} \) 2. \( \frac{50}{200} \times \frac{140}{150} \)

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