Fraction Worksheets - Free Printable
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Step-by-step solution for: Fraction Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Worksheets
To find the sum of these problems, we need to add fractions that have denominators of 10 and 100.
Step-by-step Strategy:
1. Make the denominators the same: To add fractions easily, the bottom numbers (denominators) should match. Since 100 is a multiple of 10, it is easiest to change the fraction with the denominator of 10 into an equivalent fraction with a denominator of 100.
2. Convert tenths to hundredths: To change a denominator from 10 to 100, multiply both the top number (numerator) and the bottom number by 10.
* Example: $\frac{8}{10} = \frac{8 \times 10}{10 \times 10} = \frac{80}{100}$
3. Add the numerators: Once both fractions have 100 on the bottom, just add the top numbers together. Keep the 100 on the bottom.
Let's solve each problem using this method:
1) $\frac{4}{100} + \frac{8}{10}$
Convert $\frac{8}{10}$ to $\frac{80}{100}$.
$\frac{4}{100} + \frac{80}{100} = \frac{84}{100}$
2) $\frac{11}{100} + \frac{6}{10}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{11}{100} + \frac{60}{100} = \frac{71}{100}$
3) $\frac{12}{100} + \frac{2}{10}$
Convert $\frac{2}{10}$ to $\frac{20}{100}$.
$\frac{12}{100} + \frac{20}{100} = \frac{32}{100}$
4) $\frac{63}{100} + \frac{1}{10}$
Convert $\frac{1}{10}$ to $\frac{10}{100}$.
$\frac{63}{100} + \frac{10}{100} = \frac{73}{100}$
5) $\frac{2}{10} + \frac{78}{100}$
Convert $\frac{2}{10}$ to $\frac{20}{100}$.
$\frac{20}{100} + \frac{78}{100} = \frac{98}{100}$
6) $\frac{3}{10} + \frac{51}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{51}{100} = \frac{81}{100}$
7) $\frac{3}{10} + \frac{61}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{61}{100} = \frac{91}{100}$
8) $\frac{11}{100} + \frac{8}{10}$
Convert $\frac{8}{10}$ to $\frac{80}{100}$.
$\frac{11}{100} + \frac{80}{100} = \frac{91}{100}$
9) $\frac{1}{100} + \frac{4}{10}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{1}{100} + \frac{40}{100} = \frac{41}{100}$
10) $\frac{4}{10} + \frac{47}{100}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{40}{100} + \frac{47}{100} = \frac{87}{100}$
11) $\frac{21}{100} + \frac{6}{10}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{21}{100} + \frac{60}{100} = \frac{81}{100}$
12) $\frac{5}{10} + \frac{38}{100}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{50}{100} + \frac{38}{100} = \frac{88}{100}$
13) $\frac{7}{10} + \frac{18}{100}$
Convert $\frac{7}{10}$ to $\frac{70}{100}$.
$\frac{70}{100} + \frac{18}{100} = \frac{88}{100}$
14) $\frac{3}{10} + \frac{33}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{33}{100} = \frac{63}{100}$
15) $\frac{2}{100} + \frac{3}{10}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{2}{100} + \frac{30}{100} = \frac{32}{100}$
16) $\frac{6}{10} + \frac{33}{100}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{60}{100} + \frac{33}{100} = \frac{93}{100}$
17) $\frac{8}{100} + \frac{5}{10}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{8}{100} + \frac{50}{100} = \frac{58}{100}$
18) $\frac{4}{10} + \frac{32}{100}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{40}{100} + \frac{32}{100} = \frac{72}{100}$
19) $\frac{5}{10} + \frac{28}{100}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{50}{100} + \frac{28}{100} = \frac{78}{100}$
20) $\frac{15}{100} + \frac{4}{10}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{15}{100} + \frac{40}{100} = \frac{55}{100}$
Final Answer:
1) 84/100
2) 71/100
3) 32/100
4) 73/100
5) 98/100
6) 81/100
7) 91/100
8) 91/100
9) 41/100
10) 87/100
11) 81/100
12) 88/100
13) 88/100
14) 63/100
15) 32/100
16) 93/100
17) 58/100
18) 72/100
19) 78/100
20) 55/100
Step-by-step Strategy:
1. Make the denominators the same: To add fractions easily, the bottom numbers (denominators) should match. Since 100 is a multiple of 10, it is easiest to change the fraction with the denominator of 10 into an equivalent fraction with a denominator of 100.
2. Convert tenths to hundredths: To change a denominator from 10 to 100, multiply both the top number (numerator) and the bottom number by 10.
* Example: $\frac{8}{10} = \frac{8 \times 10}{10 \times 10} = \frac{80}{100}$
3. Add the numerators: Once both fractions have 100 on the bottom, just add the top numbers together. Keep the 100 on the bottom.
Let's solve each problem using this method:
1) $\frac{4}{100} + \frac{8}{10}$
Convert $\frac{8}{10}$ to $\frac{80}{100}$.
$\frac{4}{100} + \frac{80}{100} = \frac{84}{100}$
2) $\frac{11}{100} + \frac{6}{10}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{11}{100} + \frac{60}{100} = \frac{71}{100}$
3) $\frac{12}{100} + \frac{2}{10}$
Convert $\frac{2}{10}$ to $\frac{20}{100}$.
$\frac{12}{100} + \frac{20}{100} = \frac{32}{100}$
4) $\frac{63}{100} + \frac{1}{10}$
Convert $\frac{1}{10}$ to $\frac{10}{100}$.
$\frac{63}{100} + \frac{10}{100} = \frac{73}{100}$
5) $\frac{2}{10} + \frac{78}{100}$
Convert $\frac{2}{10}$ to $\frac{20}{100}$.
$\frac{20}{100} + \frac{78}{100} = \frac{98}{100}$
6) $\frac{3}{10} + \frac{51}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{51}{100} = \frac{81}{100}$
7) $\frac{3}{10} + \frac{61}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{61}{100} = \frac{91}{100}$
8) $\frac{11}{100} + \frac{8}{10}$
Convert $\frac{8}{10}$ to $\frac{80}{100}$.
$\frac{11}{100} + \frac{80}{100} = \frac{91}{100}$
9) $\frac{1}{100} + \frac{4}{10}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{1}{100} + \frac{40}{100} = \frac{41}{100}$
10) $\frac{4}{10} + \frac{47}{100}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{40}{100} + \frac{47}{100} = \frac{87}{100}$
11) $\frac{21}{100} + \frac{6}{10}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{21}{100} + \frac{60}{100} = \frac{81}{100}$
12) $\frac{5}{10} + \frac{38}{100}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{50}{100} + \frac{38}{100} = \frac{88}{100}$
13) $\frac{7}{10} + \frac{18}{100}$
Convert $\frac{7}{10}$ to $\frac{70}{100}$.
$\frac{70}{100} + \frac{18}{100} = \frac{88}{100}$
14) $\frac{3}{10} + \frac{33}{100}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{30}{100} + \frac{33}{100} = \frac{63}{100}$
15) $\frac{2}{100} + \frac{3}{10}$
Convert $\frac{3}{10}$ to $\frac{30}{100}$.
$\frac{2}{100} + \frac{30}{100} = \frac{32}{100}$
16) $\frac{6}{10} + \frac{33}{100}$
Convert $\frac{6}{10}$ to $\frac{60}{100}$.
$\frac{60}{100} + \frac{33}{100} = \frac{93}{100}$
17) $\frac{8}{100} + \frac{5}{10}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{8}{100} + \frac{50}{100} = \frac{58}{100}$
18) $\frac{4}{10} + \frac{32}{100}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{40}{100} + \frac{32}{100} = \frac{72}{100}$
19) $\frac{5}{10} + \frac{28}{100}$
Convert $\frac{5}{10}$ to $\frac{50}{100}$.
$\frac{50}{100} + \frac{28}{100} = \frac{78}{100}$
20) $\frac{15}{100} + \frac{4}{10}$
Convert $\frac{4}{10}$ to $\frac{40}{100}$.
$\frac{15}{100} + \frac{40}{100} = \frac{55}{100}$
Final Answer:
1) 84/100
2) 71/100
3) 32/100
4) 73/100
5) 98/100
6) 81/100
7) 91/100
8) 91/100
9) 41/100
10) 87/100
11) 81/100
12) 88/100
13) 88/100
14) 63/100
15) 32/100
16) 93/100
17) 58/100
18) 72/100
19) 78/100
20) 55/100
Parent Tip: Review the logic above to help your child master the concept of high school fractions worksheet.