# How do you solve: 4 2/3*-1 1/2=1 1/4?

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#### Explanation

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#### Explanation:

I want someone to double check my answer

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SCooke Share
Feb 7, 2018

Your statement is untrue. Correct derivations are below.
$4 \frac{2}{3} \cdot - 1 \frac{1}{2} = - 7$
$4 \frac{2}{3} - 1 \frac{1}{2} = 3 \frac{1}{6}$

#### Explanation:

First, put all of the fractions into forms with the same denominator (Greatest Common Factor) for addition/subtraction problems. Then do the algebraic function(s) and finally simplify the fraction, if any.

In this case we have a multiplication, so we can just convert the mixed number to a fraction first, then multiply and then simplify.

$4 \frac{2}{3} \cdot - 1 \frac{1}{2} = 1 \frac{1}{4}$ If this is a multiplication, the result should be negative.
(3*4 + 2)/3* (2*-1 + 1)/2 = ?

14/3* -3/2 = ? ; $- \frac{42}{6} = - 7$ Doesn't look like your problem.

Let's try it as an addition:
$4 \frac{2}{3} - 1 \frac{1}{2} = 1 \frac{1}{4}$
(3*4 + 2)/3 + (2*-1 + 1)/2 = ?
14/3 -3/2 = ? ; 2*(14/3) - 3*(3/2) = ?
$\frac{28}{6} - \frac{9}{6} = \frac{19}{6}$; $\frac{19}{6} = 3 \frac{1}{6}$

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