Multiply a Fraction by a Whole Number (Eureka G5M4L14)

Front

What is the result of multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same.

Front

How do you multiply the fraction \( \frac{1}{8} \) by the whole number 5?

Back

Multiply the numerator: \( 1 \times 5 = 5 \). The denominator remains 8, so the result is \( \frac{5}{8} \).

Front

What is the product of \( \frac{1}{8} \) and 3?

Back

The product is \( \frac{3}{8} \) because you multiply the numerator: \( 1 \times 3 = 3 \) and keep the denominator 8.

Front

Calculate \( 3 \times \frac{1}{10} \).

Back

The result is \( \frac{3}{10} \) because you multiply the numerator: \( 1 \times 3 = 3 \) and keep the denominator 10.

Front

What is the result of \( 4 \times \frac{1}{5} \)?

Back

The result is \( \frac{4}{5} \) because you multiply the numerator: \( 1 \times 4 = 4 \) and keep the denominator 5.

Front

How do you express the multiplication of a fraction and a whole number as a fraction?

Back

The result of multiplying a fraction by a whole number can always be expressed as a fraction with the whole number as the new numerator and the original denominator.

Front

What is the general formula for multiplying a fraction \( \frac{a}{b} \) by a whole number \( c \)?

Back

The formula is \( \frac{a \times c}{b} \).

Front

If you multiply \( \frac{1}{5} \) by 4, what is the result?

Back

The result is \( \frac{4}{5} \) because you multiply the numerator: \( 1 \times 4 = 4 \) and keep the denominator 5.

Front

What is the importance of understanding how to multiply fractions by whole numbers?

Back

Understanding this concept is crucial for solving real-world problems involving ratios, proportions, and measurements.

Front

Can you simplify the result of multiplying a fraction by a whole number?

Back

Yes, if the resulting fraction can be simplified, you should reduce it to its simplest form.