Questions: 1/6 × 4/5 = 4/5 × 7/8 = 3/7 × 7/9 =

1/6 × 4/5 = 4/5 × 7/8 = 3/7 × 7/9 =
Transcript text: \[ \frac{1}{6} \times \frac{4}{5}= \] \[ \frac{4}{5} \times \frac{7}{8}= \] \[ \frac{3}{7} \times \frac{7}{9}= \]
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Solution

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Solution Steps

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ 1 \times 4 = 4 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 6 \times 5 = 30 \]

Step 3: Simplify the fraction

Combine the results from Step 1 and Step 2: \[ \frac{4}{30} \] Simplify the fraction by dividing the numerator and denominator by 2: \[ \frac{4 \div 2}{30 \div 2} = \frac{2}{15} \]

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ 4 \times 7 = 28 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 5 \times 8 = 40 \]

Step 3: Simplify the fraction

Combine the results from Step 1 and Step 2: \[ \frac{28}{40} \] Simplify the fraction by dividing the numerator and denominator by 4: \[ \frac{28 \div 4}{40 \div 4} = \frac{7}{10} \]

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ 3 \times 7 = 21 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 7 \times 9 = 63 \]

Step 3: Simplify the fraction

Combine the results from Step 1 and Step 2: \[ \frac{21}{63} \] Simplify the fraction by dividing the numerator and denominator by 21: \[ \frac{21 \div 21}{63 \div 21} = \frac{1}{3} \]

Final Answer

  1. \( \boxed{\frac{2}{15}} \)
  2. \( \boxed{\frac{7}{10}} \)
  3. \( \boxed{\frac{1}{3}} \)
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