Questions: Multiply. 5/7 × 42

Multiply. 5/7 × 42
Transcript text: Multiply. \[ \frac{5}{7} \times 42 \]
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Solution

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Solution Steps

To solve the problem of multiplying a fraction by a whole number, we can follow these steps:

  1. Multiply the numerator of the fraction by the whole number.
  2. Keep the denominator the same.
  3. Simplify the resulting fraction if possible.
Step 1: Multiply the Numerator by the Whole Number

To find the product of \(\frac{5}{7}\) and \(42\), we first multiply the numerator of the fraction by the whole number: \[ 5 \times 42 = 210 \]

Step 2: Keep the Denominator the Same

The denominator remains the same: \[ \frac{210}{7} \]

Step 3: Simplify the Fraction

Next, we simplify the fraction by dividing the numerator by the denominator: \[ \frac{210}{7} = 30 \]

Final Answer

\(\boxed{30}\)

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