Math Problem Solving

Front

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

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, 4 ÷ ⅓ = 4 × 3/1 = 12.

Front

Calculate: 4 ÷ ⅓

Back

12

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of ⅓ is 3/1.

Front

Back

@@rac{1}{2} ext{ ÷ } rac{6}{8} = rac{1}{2} imes rac{8}{6} = rac{8}{12} = rac{2}{3}$$.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction means to multiply by its reciprocal. For example, dividing by ⅓ is the same as multiplying by 3.

Front

Back

@@rac{1}{2} ext{ ÷ } rac{1}{4} = rac{1}{2} imes rac{4}{1} = 2.$$

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, ¾ means 3 parts out of 4.

Front

How do you simplify a fraction?

Back

Front

What is the greatest common divisor (GCD)?

Back

The GCD of two or more numbers is the largest number that divides all of them without leaving a remainder. For example, the GCD of 8 and 12 is 4.

Front

Back

@@rac{3}{4} ext{ ÷ } rac{1}{2} = rac{3}{4} imes rac{2}{1} = rac{3 imes 2}{4 imes 1} = rac{6}{4} = rac{3}{2}$$.