preeshapatel09 preeshapatel09

12-05-2022
Mathematics

contestada

5 The diagram shows three identical shapes. į of
shape A is shaded and of shape C is shaded.
What fraction of shape B is shaded? ......

$5 The diagram shows three identical shapes į of shape A is shaded and of shape C is shaded What fraction of shape B is shaded class=$

Respuesta :

mathstudent55 mathstudent55

12-05-2022

Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

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