Question

*Amit ordered a cake. He divided the cake in 4 parts of different size. If the three parts are 1/2, 1/4 and 1/8, then find the forth part of the cake.*

1️⃣ 1/8
2️⃣ 5/8
3️⃣ 3/8
4️⃣ 1/4​

Answer 1

Answer:

The Correct Option is Option(1).

Step-by-step explanation:

Cake ordered by Amit is 1.

The Cake is divided into Four Parts.

$\text{Three parts are \frac{1}{2},\frac{1}{4} \ and \ \frac{1}{8} }$

To Find : Fourth Part

Solution :

Fourth Part = 1 - ( First Part + Second Part + Third Part )

$\text{Fourth Part = 1-(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}) }\\=1-\frac{7}{8}\\=\frac{1}{8}\\\\\text{Hence fourth part of Cake if \frac{1}{8} }$

So option (1) is the correct answer.

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Answer 2

Answer:

The fourth part is 1) 1/8.

Step-by-step explanation:

Given:

A cake is divided into 4 parts of different sizes.

x₁ = 1/2, x₂ = 1/4, x₃ = 1/8

To find:

Fourth part (x₄) = ?

Solution:

It is given that one cake is divided into four parts. Therefore,

1 = x₁ + x₂ + x₃ + x₄

Substituting the given values, we get

$1 = \frac{1}{2} +\frac{1}{4}+\frac{1}{8}+x_4$

$1 = \frac{(1)(4) + (1)(2) + 1}{8} + x_4$

$1 = \frac{4+2+1}{8} + x_4$

$1 = \frac{7}{8} + x_4$

$x_4 = 1 - \frac{7}{8}$

$x_4 = \frac{8-7}{8}$

$x_4 = \frac{1}{8}$

Therefore, the fourth part of the cake is 1/8.

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