The sum 4750 + 3349 is between

Free Practice Question

PS · Problem Solving

605-655

Arithmetic

The sum $\frac{47}{50} + \frac{33}{49}$ is between

Answer Choices

Correct answer marked below

1.0 and 1.2

1.2 and 1.4

1.4 and 1.6

1.6 and 1.8

Correct

1.8 and 2.0

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Comments

LatentSep 8

Quick approximation: 47/50 is 0.94 and 33/49 is a bit more than 33/50 = 0.66, so total is a bit over 1.6. Only one choice fits.

DivyanshSep 22

Exactly, no need to do long division, just note 33/49 > 33/50.

GabrielaSep 22

Nice, I did the same. Took me 20 seconds.

GauravMay 19

Is there a faster way without calculating decimals? I got stuck trying to find a common denominator, which seemed messy.

AkshatMay 20

Just compare each fraction to 1/2 or 3/4 and bound the sum. Common denominator is overkill here.

ImanJul 4

I picked D because 33/49 is close to 2/3, and 47/50 is close to 15/16. Sum is about 1.6, so D. Is that solid reasoning?

MahbubaMay 6

Medium difficulty for me. The numbers look ugly but the answer choices are wide, so estimating is enough.

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.

The sum 4750+3349\frac{47}{50} + \frac{33}{49}5047​+4933​ is between