Question

Sara divided up her dessert among her family. She gave her daughter 1/8 of the dessert, her son 1/4 of the

dessert, and her husband 3/8 of the dessert. How much of the dessert was left for Sara?

Answer 1

2/8 (or) 1/4

Explanation:

The amount of desert she served is,

→ 1/8 + 1/4 + 3/8

→ (1 + 2 + 3)/8

→ 6/8

Then amount of desert left for Sara is,

→ 1/1 - 6/8

→ (8 - 6)/8

→ 2/8 (or) 1/4

Hence, she was left with 2/8 of desert.

Answer 2

¹/₄

Explanation:

Given:

• Daughter = 1/8 of the dessert.
• Son = 1/4 of the dessert.
• Husband = 3/8 of the dessert.

The dessert is the "whole", i.e. equal to 1.

To find how much of the dessert was left, subtract all the given portions from 1:

`\begin{aligned}\textsf{Dessert left for Sara} & = 1-(1)/(8)-(1)/(4)-(3)/(8)\\\\& = (8)/(8)-(1)/(8)-(2)/(8)-(3)/(8)\\\\& = (8-1-2-3)/(8)\\\\& = (2)/(8)\\\\& = (1)/(4)\end{aligned}`

Therefore, ¹/₄ of the dessert was left for Sara.