Multiplying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you multiply 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

What is the product of \( \frac{a}{b} \) and \( c \)?

Back

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

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the first step in multiplying two fractions?

Back

The first step is to multiply the numerators together to get the new numerator.

Front

What is the second step in multiplying two fractions?

Back

The second step is to multiply the denominators together to get the new denominator.

Front

What is the result of multiplying \( \frac{4}{10} \) by \( \frac{5}{8} \)?

Back

The result is \( \frac{20}{80} \), which simplifies to \( \frac{1}{4} \).

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Front

What does it mean to find a fraction of a whole?

Back

Finding a fraction of a whole means to calculate how much of the whole is represented by the fraction, often done by multiplying the whole by the fraction.

Front

If \( \frac{3}{4} \) of 8 students got an A+, how many students is that?

Back

That is 6 students, calculated as \( 8 \times \frac{3}{4} = 6 \).