How do you simplify 1 1/4+(3 2/3+5 3/4)^2?

Nov 10, 2016

$89 \frac{133}{144}$

Explanation:

$1 \frac{1}{4} + {\left(3 \frac{2}{3} + 5 \frac{3}{4}\right)}^{2} \text{ } \leftarrow$ there are 2 terms.

=$1 \frac{1}{4} + {\left(8 \frac{8 + 9}{12}\right)}^{2} \text{ } \leftarrow$ calculate the bracket first

=$1 \frac{1}{4} + {\left(8 \frac{17}{12}\right)}^{2}$

=$1 \frac{1}{4} + {\left(\frac{113}{12}\right)}^{2} \text{ } \leftarrow$ improper fraction to be able to square

=$1 \frac{1}{4} + \frac{12769}{144}$

=$1 \frac{1}{4} + 88 \frac{97}{144}$

=$89 \frac{36 + 97}{144}$

=$89 \frac{133}{144}$