### Home > CC2 > Chapter 7 > Lesson 7.1.3 > Problem7-37

7-37.

Simplify each expression.  Homework Help ✎

1. $18\div\frac{3}{4}$

Convert $18$ to a fraction greater than one, then divide.

$24$

1. $\frac{2}{3}(9-6)+40$

Follow the Order of Operations. First simplify any terms in parentheses, then any exponents, then terms being multiplied or divided, and lastly, combine any terms that are being added or subtracted.

1. $15\div5+\frac{1}{2}·\left(-\frac{4}{7}\right)$

See part (b).

$2\frac{5}{7}$

1. $-\frac{7}{10}+\left(-\frac{5}{12}\right)-\left(\frac{1}{4}\right)$

Find a common denominator.

$-\frac{164}{120}$ or $-1\frac{11}{30}$

1. $4.25-7.06$

See part (b).

$-2.81$

1. $\frac{7}{8}-\left(-\frac{1}{10}\right)+\left(-\frac{3}{5}\right)$

See part (d).