Calculate the following expression: 34 + 45 * 5103 - 712.

Calculate the following expression: 34 + 45 *… | GMAT Sprint

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PS · Problem Solving

sub-505

Arithmetic

Calculate the following expression: $\frac{3}{4} +\frac{\frac{4}{5} *\frac{5}{10}}{3} - \frac{7}{12}$ .

Answer Choices

Correct answer marked below

31/12

3/10

Correct

1/12

11/15

1

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Explanation

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Official Explanation

Official

To solve

\frac{3}{4} +\frac{\frac{4}{5} *\frac{5}{10}}{3} - \frac{7}{12}

, we first calculate

\frac{4}{5} *\frac{5}{10} = \frac{4}{10} = \frac{2}{5}

. Then, we divide this by 3:

\frac{\frac{2}{5}}{3} = \frac{2}{15}

. Now, we can rewrite the expression as

\frac{3}{4} + \frac{2}{15} - \frac{7}{12}

. To combine…

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Comments

SUMANMar 23, 2025

Good question

GuilhermeDec 23, 2024

thanks for the answer

CarolinaMar 21, 2025

pls explain more?

DebanshuAug 15

thanks, this was a nice warmup. the nested fraction looked scary for a sec but the 5s cancel nicely.

AhmedAug 27

ikr, i almost started multiplying everything out lol

AshwantApr 16

wait, i got 11/15. where did i go wrong? i think i messed up the subtraction at the end.

DivyasreeApr 22

probably flipped the order. remember you subtract 7/12 after adding the first two terms.

RaghavSep 25

quick tip: always simplify the complex fraction first. makes the rest way faster.

What this question tests

What it tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Common trap

Applying the order of operations out of sequence or rounding intermediate values before the final step.

Calculate the following expression: 34+45∗5103−712\frac{3}{4} +\frac{\frac{4}{5} *\frac{5}{10}}{3} - \frac{7}{12}43​+354​∗105​​−127​.