1

Problem

Solve the equation \$6/8 − 13/9 − 4/2\$.

2

Step

Given Fraction

\$6/8 − 13/9 − 4/2\$

3

Step

Least Common Multiple (LCM) between the denominators

LCM of 8, 9, 2 = 72

4

Step

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

\$((6 times 9) - (13 times 8) - (4 times 36))/72\$ ⇒ \$(54 - 104 + 144)/72\$

5

Step

Now, subtract the fraction by using PEMDAS

\$((54 - 104) - 144)/72\$ ⇒ \$(-50 - 144)/72\$

6

Step

Again subtract the fraction

\$(-50 - 144)/72\$ ⇒ \$-194/72\$

7

Step

Divide the fraction

-194 ÷ 72

8

Step

Write the value of the quotient

-2.69

9

Solution

Therefore, -2.69 is the decimal number that is needed.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This is incorrect. It is too large and positive

Wrong 2.96

12

Choice-B

This is incorrect. It is a negative value but too far off from the correct result

Wrong -3.96

13

Choice-C

-2.69 is the correct answer

Correct -2.69

14

Choice-D

This is incorrect. It is a positive number, which does not match the negative result

Wrong 4.69

15

Answer

Option

C

16

Sumup

Please summarize choices