How do you estimate 5 1/3-3 5/6?

Apr 4, 2017

The estimate is $1$, which is the result of $5 - 4 = 1$

We can also see the actual value will be greater than one $\left(> 1\right)$
since $5 \frac{1}{3} > 5 \mathmr{and} 3 \frac{5}{6} < 4$

Explanation:

Given: $5 \frac{1}{3} - 3 \frac{5}{6}$

To estimate this expression we round off each term:

$5 \frac{1}{3} i s c l o s e \to$5

$3 \frac{5}{6} i s c l o s e \to$4

Then subtracting: $5 - 4 = 1$

Actual value is: $5 \frac{1}{3} - 3 \frac{5}{6} = \frac{16}{3} - \frac{23}{6} = \frac{32}{6} - \frac{23}{6} = \frac{9}{6} = 1 \frac{3}{6} = 1 \frac{1}{2}$