Urijah w. Learming Subtracting fractions from mixed numbers Grase 4 Fractors Whantest Find to dexerrs 1. $$ 16 \frac{1}{20}-\frac{14}{22}= $$ $$ \qquad $$ $$ 25 \frac{1}{100} \cdot \frac{51}{105}= $$ $$ \qquad $$ $$ 1.193-\frac{30}{50}= $$ $$ \qquad $$ - $$ 13 \frac{5}{4}-\frac{3}{4}= $$ $$ \qquad $$ 5 $$ 18 \frac{2}{52}-\frac{5}{10}= $$ $$ \qquad $$ $$ \therefore 14 \frac{2}{7}-\frac{4}{7}= $$ $$ \qquad $$ $$ 7.20 \frac{6}{15}-\frac{36}{15}= $$ $$ \qquad $$ $$ 38 \frac{4}{3}-\frac{5}{3}= $$ $$ \qquad $$ ? $$ 5 \frac{1}{3}-\frac{2}{3}= $$ $$ \qquad $$ $$ 12.1 \frac{2}{5}-\frac{4}{5}= $$ $$ \qquad $$ 15 $$ 8 \frac{13}{15}-\frac{14}{15}= $$ $$ \qquad $$ $$ 1214 \frac{3}{12}-\frac{51}{12}= $$ $$ \qquad $$ $$ 136 \frac{1}{2}-\frac{1}{2}= $$ $$ \qquad $$ -4. $$ 13 \frac{6}{15}-\frac{9}{75}= $$ $$ \qquad $$ -5 $$ 10 \frac{3}{8}-\frac{6}{8}= $$ $$ \qquad $$ 19. $$ 12 \frac{2}{3}-\frac{5}{8}= $$ $$ \qquad $$ $$ \frac{37}{8} $$ $$ \qquad $$

Question

UpStudy AI · Accepted Answer

Let's solve the problems step by step, focusing on subtracting fractions from mixed numbers.

### Problem 1: $$ 16 \frac{1}{20} - \frac{14}{22} $$

1. Convert the mixed number to an improper fraction:
   $$
   16 \frac{1}{20} = \frac{16 \times 20 + 1}{20} = \frac{320 + 1}{20} = \frac{321}{20}
   $$

2. Find a common denominator for $$ \frac{321}{20} $$ and $$ \frac{14}{22} $$. The least common multiple of 20 and 22 is 220.

3. Convert both fractions:
   $$
   \frac{321}{20} = \frac{321 \times 11}{20 \times 11} = \frac{3531}{220}
   $$
   $$
   \frac{14}{22} = \frac{14 \times 10}{22 \times 10} = \frac{140}{220}
   $$

4. Subtract the fractions:
   $$
   \frac{3531}{220} - \frac{140}{220} = \frac{3531 - 140}{220} = \frac{3391}{220}
   $$

### Problem 2: $$ 25 \frac{1}{100} \cdot \frac{51}{105} $$

1. Convert the mixed number to an improper fraction:
   $$
   25 \frac{1}{100} = \frac{25 \times 100 + 1}{100} = \frac{2500 + 1}{100} = \frac{2501}{100}
   $$

2. Multiply the fractions:
   $$
   \frac{2501}{100} \cdot \frac{51}{105} = \frac{2501 \times 51}{100 \times 105}
   $$

3. Calculate the numerator and denominator:
   $$
   2501 \times 51 = 127651
   $$
   $$
   100 \times 105 = 10500
   $$

4. The result is:
   $$
   \frac{127651}{10500}
   $$

### Problem 3: $$ 1.193 - \frac{30}{50} $$

1. Convert $$ 1.193 $$ to a fraction:
   $$
   1.193 = \frac{1193}{1000}
   $$

2. Convert $$ \frac{30}{50} $$ to simplest form:
   $$
   \frac{30}{50} = \frac{3}{5}
   $$

3. Find a common denominator (1000 and 5):
   $$
   \frac{3}{5} = \frac{3 \times 200}{5 \times 200} = \frac{600}{1000}
   $$

4. Subtract the fractions:
   $$
   \frac{1193}{1000} - \frac{600}{1000} = \frac{1193 - 600}{1000} = \frac{593}{1000}
   $$

### Problem 4: $$ 13 \frac{5}{4} - \frac{3}{4} $$

1. Convert the mixed number to an improper fraction:
   $$
   13 \frac{5}{4} = \frac{13 \times 4 + 5}{4} = \frac{52 + 5}{4} = \frac{57}{4}
   $$

2. Subtract the fractions:
   $$
   \frac{57}{4} - \frac{3}{4} = \frac{57 - 3}{4} = \frac{54}{4} = \frac{27}{2}
   $$

### Problem 5: $$ 18 \frac{2}{52} - \frac{5}{10} $$

1. Convert the mixed number to an improper fraction:
   $$
   18 \frac{2}{52} = \frac{18 \times 52 + 2}{52} = \frac{936 + 2}{52} = \frac{938}{52}
   $$

2. Simplify $$ \frac{5}{10} $$:
   $$
   \frac{5}{10} = \frac{1}{2}
   $$

3. Find a common denominator (52 and 2):
   $$
   \frac{1}{2} = \frac{1 \times 26}{2 \times 26} = \frac{26}{52}
   $$

4. Subtract the fractions:
   $$
   \frac{938}{52} - \frac{26}{52} = \frac{938 - 26}{52} = \frac{912}{52} = \frac{456}{26} = \frac{228}{13}
   $$

### Problem 6: $$ 14 \frac{2}{7} - \frac{4}{7} $$

1. Convert the mixed number to an improper fraction:
   $$
   14 \frac{2}{7} = \frac{14 \times 7 + 2}{7} = \frac{98 + 2}{7} = \frac{100}{7}
   $$

2. Subtract the fractions:
   $$
   \frac{100}{7} - \frac{4}{7} = \frac{100 - 4}{7} = \frac{96}{7}
   $$

### Problem 7: $$ 7.20 \frac{6}{15} - \frac{36}{15} $$

1. Convert $$ 7.20 $$ to a fraction:
   $$
   7.20 = \frac{720}{100} = \frac{72}{10} = \frac{36}{5}
   $$

2. Convert $$ 6/15 $$ to a fraction:
   $$
   7.20 \frac{6}{15} = \frac{36 \times 15 + 6}{15} = \frac{540 + 6}{15} = \frac{546}{15}
   $$

3. Subtract the fractions:
   $$
   \frac{546}{15} - \frac{36}{15} = \frac{546 - 36}{15} = \frac{510}{15} = 34
   $$

### Problem 8: $$ 38 \frac{4}{3} - \frac{5}{3} $$

1. Convert the mixed number to an improper fraction:
   $$
   38 \frac{4}{3} = \frac{38 \times 3 + 4}{3} = \frac{114 + 4}{3} = \frac{118}{3}
   $$

2. Subtract the fractions:
   \[
   \frac{118}{3} - \frac{
Here are the simplified answers to the problems: 1. $$ 16 \frac{1}{20} - \frac{14}{22} = \frac{3391}{220} $$ 2. $$ 25 \frac{1}{100} \cdot \frac{51}{105} = \frac{127651}{10500} $$ 3. $$ 1.193 - \frac{30}{50} = \frac{593}{1000} $$ 4. $$ 13 \frac{5}{4} - \frac{3}{4} = \frac{27}{2} $$ 5. $$ 18 \frac{2}{52} - \frac{5}{10} = \frac{228}{13} $$ 6. $$ 14 \frac{2}{7} - \frac{4}{7} = \frac{96}{7} $$ 7. $$ 7.20 \frac{6}{15} - \frac{36}{15} = 34 $$ 8. $$ 38 \frac{4}{3} - \frac{5}{3} = \frac{113}{3} $$ 9. $$ 5 \frac{1}{3} - \frac{2}{3} = \frac{13}{3} $$ 10. $$ 12.1 \frac{2}{5} - \frac{4}{5} = \frac{61}{5} $$ 11. $$ 8 \frac{13}{15} - \frac{14}{15} = \frac{121}{15} $$ 12. $$ 1214 \frac{3}{12} - \frac{51}{12} = \frac{1213}{12} $$ 13. $$ 136 \frac{1}{2} - \frac{1}{2} = 136 $$ 14. $$ 13 \frac{6}{15} - \frac{9}{75} = \frac{199}{25} $$ 15. $$ 10 \frac{3}{8} - \frac{6}{8} = \frac{79}{8} $$ 16. $$ 19 \frac{2}{3} - \frac{5}{8} = \frac{149}{24} $$ 17. $$ \frac{37}{8} $$

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions