1

Problem

Is this statement correct: \$5 35/25 + 8 28/30 = 15 5/15\$?

2

Step

Given fractions are

\$5 35/25\$, \$8 28/30\$

3

Step

Simplify the fractions and change the mixed fractions into improper fractions

\$5 7/5\$, \$8 14/15\$

\$(25 + 7)/5\$ & \$(120 + 14)/15\$

=\$32/5\$ & \$134/15\$

4

Step

Least Common Multiple (LCM) between the denominators

L.C.M 5, 15 = 15

5

Step

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

\$((32 times 3) + (134 times 1))/15\$

6

Step

Add the numerators and keep the denominator are same

\$(96 + 134)/15\$ = \$230/15\$

7

Step

Divide the numerator with the denominator

\$230 div 15\$

8

Step

Whole number = Quotient (q) Numerator = Remainder (r) Denominator = Divisor

q = 15, r = 5, divisor = 15

9

Step

Mixed number = \$"Whole number" "Numerator"/"Denominator"\$

\$15 5/15\$

10

Step

Yes, \$5 35/25 + 8 28/30 = 15 5/15\$.

11

Sumup

Please summarize steps

Choices

12

Choice-A

This is incorrect because the calculations show that the statement is mathematically valid

Wrong No

13

Choice-B

The statement is correct. The left-hand side equals \$15 1/3\$, and the right-hand side is also \$15 1/3\$

Correct Yes

14

Choice-C

This is incorrect because "Yes" and "No" cannot be correct simultaneously

Wrong Both

15

Choice-D

This is incorrect because one of the options (b: Yes) is indeed correct

Wrong None