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# How do you multiply a whole number by a fraction?

Whole numbers are all natural numbers including 0

A fraction represents a numerical value, which defines the parts of a whole

## Answer: To multiply a whole number by a fraction the whole number is converted into a fraction with denominator 1 and is multiplied by the given fraction

The following steps are performed to multiply a whole number by a fraction:

**Explanation:**

- Write the whole number in the form of a fraction with denominator 1.
- Multiply the numerators of both the fractions.
- Multiply the denominators of both the fractions.
- Combine them and Simplify the fraction to its lowest form.

Example: Product of 6 and 5/8

Step 1: Represent 6 as a fraction.

6 = 6/1

Step 2: Multiply the numerators of the two fractions.

6 × 5 = 30

Step 3: Multiply the denominators of the two fractions.

1 × 8 = 8

Step 4: Combining them and writing the fraction in its lowest form.

30/8 = 15/4

### Hence, to multiply a whole number by a fraction the whole number is converted into a fraction with denominator 1 and is multiplied by the given fraction.

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