5.NF.7- Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 3 = 1/(2×3) = 1/6.

Front

What does it mean to divide a whole number by a fraction?

Back

Dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal of the fraction. For example, 4 ÷ 1/2 = 4 × 2/1 = 8.

Front

How can you visualize dividing fractions?

Back

You can visualize dividing fractions using models like pie charts or number lines, showing how many times the divisor fits into the dividend.

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 3/4 is 4/3.

Front

If you have 7 cups of flour and each batch of cookies requires 1/3 cup, how many batches can you make?

Back

21 batches (7 ÷ (1/3) = 7 × 3/1 = 21).

Front

Kelly cut a 16-foot-long paper into 1/4-foot pieces. How many pieces did she have?

Back

64 pieces (16 ÷ (1/4) = 16 × 4/1 = 64).

Front

If three friends share 1/6 of a case of fruit, what part does each friend get?

Back

Each friend gets 1/18 of the case (1/6 ÷ 3 = 1/6 × 1/3 = 1/18).

Front

Sarah baked 4 loaves of bread and cut each into fifths. How many sections of bread does she have?

Back

20 sections (4 ÷ (1/5) = 4 × 5/1 = 20).

Front

Mike has 18 cups of water and each jar holds 1/3 cup. How many jars can he fill?

Back

54 jars (18 ÷ (1/3) = 18 × 3/1 = 54).