1

Problem

Calculate the value of \$5/3 − 2/4 + 5/2\$.

2

Step

Given Fraction

\$5/3 − 2/4 + 5/2\$

3

Step

Least Common Multiple (LCM) between the denominators

LCM of 3, 4, 2 = 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 4) - (2 times 3) + (5 times 6))/12\$ ⇒ \$(20 - 6 + 30)/12\$

5

Step

Now, subtract the fraction by using PEMDAS

\$((20 - 6) + 30)/12\$ ⇒ \$(14 + 30)/12\$

6

Step

Later, add the fraction

\$(14 + 30)/12\$ ⇒ \$44/12\$

7

Step

Divide the fraction

44 ÷ 12

8

Step

Write the value of the quotient

3.66

9

Solution

Therefore, 3.66 is the decimal number that is needed.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This is incorrect because the result is nowhere near this value

Wrong 6.33

12

Choice-B

This is correct because the calculation gives approximately 3.6667, rounded to two decimal places

Correct 3.66

13

Choice-C

This is incorrect because the result is much lower than 6

Wrong 6.36

14

Choice-D

This is incorrect because the result is far from 4.33

Wrong 4.33

15

Answer

Option

B

16

Sumup

Please summarize choices