Order of Operations

Algebra Level 1

1 2 + 1 2 + 70 2 + 1 = ? \large \dfrac12 +\dfrac12 + \dfrac{70}2 + 1 = \, ?

37 38 35 28 31

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4 solutions

1 2 \frac{1}{2} + 1 2 \frac{1}{2} = 1 + ( 70 2 \frac{70}{2} ) = 35 = 36 + 1 = 37

Or because the fractions have a common denominator you can add

1+1+70+2= 74 and 74 divided by 2 = 37

Mahdi Raza
Jul 1, 2020

1 2 + 1 2 + 70 2 + 1 1 + 1 + 70 + 2 2 37 \dfrac{1}{2} + \dfrac{1}{2} + \dfrac{70}{2} + 1 \blue{\implies} \dfrac{1 + 1 + 70 + 2}{2} \blue{\implies} \boxed{37}

This is an example of mental math.

Goh Choon Aik
Dec 12, 2016

Simplify the fractions to get 1 + 35 + 1 which yields 37.

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