Multiplying Fractions by Whole Numbers

Front

What is the process for 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. For example, to multiply 3 by 5/6, calculate 3 x 5 = 15, resulting in 15/6.

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 becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 3 4/12 is a mixed number.

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). For example, 25/6 is already in simplest form, but 15/6 can be simplified to 5/2.

Front

What is the result of multiplying 2/3 by 8?

Back

The result of multiplying 2/3 by 8 is 16/3.

Front

How do you express a fraction as a decimal?

Back

To express a fraction as a decimal, divide the numerator by the denominator. For example, 1/2 = 0.5.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction 3/4 means 3 divided by 4.

Front

How do you find the total distance run if a person runs a fraction of a mile each day for several days?

Back

To find the total distance run, multiply the fraction of a mile run each day by the number of days. For example, if someone runs 5/6 of a mile for 5 days, the total distance is 5/6 x 5 = 25/6 miles.

Front

What is the importance of converting fractions to mixed numbers in word problems?

Back

Converting fractions to mixed numbers can make it easier to understand and visualize quantities in word problems, especially when dealing with measurements or distances.

Front

How do you multiply two fractions together?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, (2/3) x (5/6) = (2*5)/(3*6) = 10/18.