To convert a fraction to a decimal, you divide the top number (numerator) by the bottom number (denominator). You can also simplify the fraction first to make the division easier.
Here are the step-by-step solutions for each problem:
1.
$\frac{20}{50}$: Divide top and bottom by 10 to get $\frac{2}{5}$. $2 \div 5 = \mathbf{0.4}$
2.
$\frac{18}{24}$: Divide top and bottom by 6 to get $\frac{3}{4}$. $3 \div 4 = \mathbf{0.75}$
3.
$-\frac{36}{80}$: Divide top and bottom by 4 to get $-\frac{9}{20}$. $9 \div 20 = 0.45$, so the answer is $\mathbf{-0.45}$
4.
$-\frac{22}{40}$: Divide top and bottom by 2 to get $-\frac{11}{20}$. $11 \div 20 = 0.55$, so the answer is $\mathbf{-0.55}$
5.
$-\frac{70}{160}$: Divide top and bottom by 10 to get $-\frac{7}{16}$. $7 \div 16 = 0.4375$, so the answer is $\mathbf{-0.4375}$
6.
$-\frac{48}{64}$: Divide top and bottom by 16 to get $-\frac{3}{4}$. $3 \div 4 = 0.75$, so the answer is $\mathbf{-0.75}$
7.
$-\frac{25}{50}$: This simplifies to $-\frac{1}{2}$. $1 \div 2 = \mathbf{-0.5}$
8.
$\frac{11}{25}$: Multiply top and bottom by 4 to get $\frac{44}{100}$. This is $\mathbf{0.44}$
9.
$\frac{52}{64}$: Divide top and bottom by 4 to get $\frac{13}{16}$. $13 \div 16 = \mathbf{0.8125}$
10.
$\frac{48}{80}$: Divide top and bottom by 16 to get $\frac{3}{5}$. $3 \div 5 = \mathbf{0.6}$
11.
$\frac{32}{50}$: Multiply top and bottom by 2 to get $\frac{64}{100}$. This is $\mathbf{0.64}$
12.
$-\frac{9}{24}$: Divide top and bottom by 3 to get $-\frac{3}{8}$. $3 \div 8 = 0.375$, so the answer is $\mathbf{-0.375}$
13.
$\frac{55}{80}$: Divide top and bottom by 5 to get $\frac{11}{16}$. $11 \div 16 = \mathbf{0.6875}$
14.
$\frac{12}{64}$: Divide top and bottom by 4 to get $\frac{3}{16}$. $3 \div 16 = \mathbf{0.1875}$
15.
$-\frac{98}{160}$: Divide top and bottom by 2 to get $-\frac{49}{80}$. $49 \div 80 = 0.6125$, so the answer is $\mathbf{-0.6125}$
16.
$\frac{12}{50}$: Multiply top and bottom by 2 to get $\frac{24}{100}$. This is $\mathbf{0.24}$
Final Answer:
1) 0.4
2) 0.75
3) -0.45
4) -0.55
5) -0.4375
6) -0.75
7) -0.5
8) 0.44
9) 0.8125
10) 0.6
11) 0.64
12) -0.375
13) 0.6875
14) 0.1875
15) -0.6125
16) 0.24
Parent Tip: Review the logic above to help your child master the concept of identify rational and irrational numbers worksheet.
