Question

subtract. write each answer in simplest form.
1.
a
\

$$\begin{array}{r} \\frac{3}{5}\\\\ -\\frac{1}{4}\\\\ \\hline \\end{array}$$

b
\

$$\begin{array}{r} \\frac{1}{2}\\\\ -\\frac{3}{10}\\\\ \\hline \\end{array}$$

c
\

$$\begin{array}{r} \\frac{7}{8}\\\\ -\\frac{1}{2}\\\\ \\hline \\end{array}$$

2.
a
\

$$\begin{array}{r} \\frac{5}{6}\\\\ -\\frac{1}{3}\\\\ \\hline \\end{array}$$

b
\

$$\begin{array}{r} \\frac{2}{3}\\\\ -\\frac{1}{5}\\\\ \\hline \\end{array}$$

c
\

$$\begin{array}{r} \\frac{5}{8}\\\\ -\\frac{1}{6}\\\\ \\hline \\end{array}$$

Explanation:

1a

Step1: Find common denominator (20)

$\frac{3}{5} = \frac{3\times4}{5\times4} = \frac{12}{20}$, $\frac{1}{4} = \frac{1\times5}{4\times5} = \frac{5}{20}$

Step2: Subtract numerators

$\frac{12}{20} - \frac{5}{20} = \frac{12 - 5}{20} = \frac{7}{20}$

Step1: Find common denominator (10)

$\frac{1}{2} = \frac{1\times5}{2\times5} = \frac{5}{10}$

Step2: Subtract numerators

$\frac{5}{10} - \frac{3}{10} = \frac{5 - 3}{10} = \frac{2}{10} = \frac{1}{5}$ (simplify)

Step1: Find common denominator (8)

$\frac{1}{2} = \frac{1\times4}{2\times4} = \frac{4}{8}$

Step2: Subtract numerators

$\frac{7}{8} - \frac{4}{8} = \frac{7 - 4}{8} = \frac{3}{8}$

Answer:

$\frac{7}{20}$

1b