Multiply fractions

Front

What is the process for multiplying two fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. The result is then simplified if possible.

Front

What is the product of \( \frac{7}{2} \) and \( \frac{2}{3} \)?

Back

The product is \( \frac{14}{6} \), which simplifies to \( \frac{7}{3} \).

Front

How do you multiply a whole number by a fraction?

Back

To multiply a whole number by a fraction, convert the whole number to a fraction (by placing it over 1) and then multiply the numerators and denominators.

Front

What is the product of \( 4 \) and \( \frac{2}{3} \)?

Back

The product is \( \frac{8}{3} \).

Front

What is the product of \( \frac{1}{4} \) and \( \frac{5}{2} \)?

Back

The product is \( \frac{5}{8} \).

Front

What is the product of \( \frac{7}{4} \) and \( \frac{11}{6} \)?

Back

The product is \( \frac{77}{24} \).

Front

How do you simplify the fraction \( \frac{14}{6} \)?

Back

To simplify \( \frac{14}{6} \), divide both the numerator and the denominator by their greatest common divisor, which is 2, resulting in \( \frac{7}{3} \).

Front

What is the product of \( \frac{1}{5} \) and \( 40 \)?

Back

The product is \( 8 \).

Front

What is a mixed number, and how can it be related to multiplying fractions?

Back

A mixed number is a whole number combined with a fraction. When multiplying fractions, you may need to convert mixed numbers to improper fractions before performing the multiplication.

Front

What is the importance of simplifying fractions after multiplication?

Back

Simplifying fractions makes them easier to understand and work with, and it is often required in mathematical conventions.