Math  /  Numbers & Operations

Question1. Use a tape diagram to represent the following calculations. Give the final result. (a) 35\frac{3}{5} of 30=30= (b) 79\frac{7}{9} of 72=72=

Studdy Solution

STEP 1

1. A tape diagram is a visual model that uses rectangles to represent the parts of a ratio or fraction.
2. We need to calculate a fraction of a whole number for each part of the problem.

STEP 2

1. Understand the tape diagram concept.
2. Use a tape diagram to calculate 35\frac{3}{5} of 30.
3. Use a tape diagram to calculate 79\frac{7}{9} of 72.

STEP 3

A tape diagram represents the whole as a rectangle divided into equal parts. Each part corresponds to a fraction of the whole.

STEP 4

(a) Draw a tape diagram for 35\frac{3}{5} of 30: - Divide the rectangle into 5 equal parts because the denominator is 5. - Each part represents 15\frac{1}{5} of 30.

STEP 5

Calculate the value of each part: - Since the whole is 30, each part is 305=6\frac{30}{5} = 6.

STEP 6

Shade 3 parts to represent 35\frac{3}{5} of 30: - The shaded parts represent 3×6=183 \times 6 = 18.

STEP 7

(b) Draw a tape diagram for 79\frac{7}{9} of 72: - Divide the rectangle into 9 equal parts because the denominator is 9. - Each part represents 19\frac{1}{9} of 72.

STEP 8

Calculate the value of each part: - Since the whole is 72, each part is 729=8\frac{72}{9} = 8.

STEP 9

Shade 7 parts to represent 79\frac{7}{9} of 72: - The shaded parts represent 7×8=567 \times 8 = 56.
The final results are: (a) 35\frac{3}{5} of 30 is 18\boxed{18}. (b) 79\frac{7}{9} of 72 is 56\boxed{56}.

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