1

Problem

What is the result of \$1/2 + 3/4 − 1/2\$?

2

Step

Given Fraction

\$1/2 + 3/4 − 1/2\$

3

Step

Least Common Multiple (LCM) between the denominators

LCM of 2, 4, 2 = 4

4

Step

Multiply the numerator and denominator of each fraction by a number so that they have the LCM as their new denominator

\$((1 times 2) + (3 times 1) - (1 times 2))/4\$ ⇒ \$(2 + 3 - 2)/4\$

5

Step

Now, add the fraction by using PEMDAS

\$((2 + 3) - 2)/4\$ ⇒ \$(5 - 2)/4\$

6

Step

Later, subtract the fraction

\$(5 - 2)/4\$ ⇒ \$3/4\$

7

Step

Divide the fraction

3 ÷ 4

8

Step

Write the value of the quotient

0.75

9

Solution

Therefore, 0.75 is the decimal number that is needed.

10

Sumup

Please summarize steps

Choices

11

Choice-A

It is the correct answer

Correct 0.75

12

Choice-B

This is not the correct answer because the result of the equation is 0.75, not 7.5

Wrong 7.5

13

Choice-C

This is not the correct answer, as the result is 0.75, not 7.05

Wrong 7.05

14

Choice-D

This is not the correct answer, as the result is 0.75, not 6.75

Wrong 6.75

15

Answer

Option

A

16

Sumup

Please summarize choices