1

Problem

Find the value of \$5/6 + 4/6 − 5/4\$.

2

Step

Given Fraction

\$5/6 + 4/6 − 5/4\$

3

Step

Least Common Multiple (LCM) between the denominators

LCM of 6, 6, 4 = 12

4

Step

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

\$((5 times 2) - (4 times 2) - (5 times 3))/12\$ ⇒ \$(10 + 8 - 15)/12\$

5

Step

Now, add the fraction by using PEMDAS

\$((10 + 8) - 15)/12\$ ⇒ \$(18 - 15)/12\$

6

Step

Later, subtract the fraction

\$(18 - 15)/12\$ ⇒ \$3/12\$

7

Step

Divide the fraction

3 ÷ 12

8

Step

Write the value of the quotient

0.25

9

Step

Therefore, 0.25 is the decimal number that is needed.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This is incorrect, as the calculation yields 0.25, not 2.58

Wrong 2.58

12

Choice-B

This is incorrect. The solution is wrong and irrelevant to the calculation

Wrong 1.47

13

Choice-C

This is incorrect; the correct result is 0.25, not 0.36

Wrong 0.36

14

Choice-D

The correct answer in decimal form is 0.25

Correct 0.25

15

Answer

Option

D

16

Sumup

Please summarize choices