# Solving problems with rational numbers in fraction form

### Solving problems with rational numbers in fraction form

Similar to the previous section, we will practice adding, subtracting, multiplying, and dividing rational numbers. Rational numbers can be expressed in two forms: fraction form and decimal form. This time, we will deal with rational numbers in fraction form.

#### Lessons

• 1.
Estimate and calculate.
a)
$\frac{4}{5}$- $\frac{5}{6}$

b)
-$\frac{2}{3}$- $\left( { - \frac{5}{6}} \right)$

c)
-$\frac{3}{8}$ + $\left( { - \frac{1}{4}} \right)$

d)
- $\frac{2}{5}$ + $\left( { - \frac{3}{7}} \right)$

e)
1$\frac{4}{9}$ + $\left( { - 1\frac{2}{3}} \right)$

f)
1$\frac{1}{4}$ - 2$\frac{1}{8}$

• 2.
a)
-1$\frac{1}{3}$÷ $\left( { - 2\frac{1}{3}} \right)$

b)
-3$\frac{1}{4}$ ÷ 1$\frac{1}{2}$

c)
-$\frac{5}{9}$ ÷ $\frac{7}{{12}}$

d)
-$\frac{1}{6}$× $\left( { - \frac{3}{7}} \right)$

e)
1$\frac{1}{5}$ ÷ 1$\frac{1}{6}$

f)
$\frac{5}{8}$$\left( { - \frac{4}{9}} \right)$

• 3.
Sam had \$45 in his bank account. He first withdrew $\frac{1}{5}$ of his saving. Then he took $\frac{1}{8}$ out from his remaining money. How much money is still left in his bank account?