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

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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. Calculate $$ \frac{3}{10} \times \frac{5}{27} $$:**

- Multiply numerators and denominators:

$$
  \frac{3}{10} \times \frac{5}{27} = \frac{3 \times 5}{10 \times 27} = \frac{15}{270}
  $$

- Simplify $$ \frac{15}{270} $$. Since $$ 15 $$ divides both numerator and denominator:

$$
  \frac{15 \div 15}{270 \div 15} = \frac{1}{18}
  $$

**2. Calculate $$ \frac{50}{200} \times \frac{140}{150} $$:**

- Simplify each fraction first:

$$
  \frac{50}{200} = \frac{50 \div 50}{200 \div 50} = \frac{1}{4}
  $$
  
  $$
  \frac{140}{150} = \frac{140 \div 10}{150 \div 10} = \frac{14}{15}
  $$

- Multiply the simplified fractions:

$$
  \frac{1}{4} \times \frac{14}{15} = \frac{1 \times 14}{4 \times 15} = \frac{14}{60}
  $$

- Simplify $$ \frac{14}{60} $$. Since $$ 14 $$ and $$ 60 $$ are both divisible by $$ 2 $$:

$$
  \frac{14 \div 2}{60 \div 2} = \frac{7}{30}
  $$

**Final Answers:**

1. $$ \frac{1}{18} $$  
2. $$ \frac{7}{30} $$
1. $$ \frac{1}{18} $$ 2. $$ \frac{7}{30} $$

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

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