Solve the fraction addition problems in image.
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Understand the Problem
This image contains a worksheet of fraction addition problems. The goal is to add the fractions in each expression together and arrive at a solution.
Answer
$1, \frac{5}{7}, 1, \frac{3}{4}, \frac{3}{4}, \frac{8}{7}, 1, \frac{2}{3}, 1, 1, \frac{3}{5}, 1, \frac{7}{8}, \frac{8}{9}$
Answer for screen readers
$1, \frac{5}{7}, 1, \frac{3}{4}, \frac{3}{4}, \frac{8}{7}, 1, \frac{2}{3}, 1, 1, \frac{3}{5}, 1, \frac{7}{8}, \frac{8}{9}$
Steps to Solve
- Adding fractions with the same denominator
To add fractions with the same denominator, we simply add the numerators and keep the denominator the same.
- Solve the first problem
$\frac{2}{8} + \frac{2}{8} + \frac{4}{8} = \frac{2+2+4}{8} = \frac{8}{8} = 1$
- Solve the second problem
$\frac{1}{7} + \frac{2}{7} + \frac{2}{7} = \frac{1+2+2}{7} = \frac{5}{7}$
- Solve the third problem
$\frac{1}{7} + \frac{3}{7} + \frac{3}{7} = \frac{1+3+3}{7} = \frac{7}{7} = 1$
- Solve the fourth problem
$\frac{1}{8} + \frac{3}{8} + \frac{2}{8} = \frac{1+3+2}{8} = \frac{6}{8} = \frac{3}{4}$
- Solve the fifth problem
$\frac{1}{8} + \frac{3}{8} + \frac{2}{8} = \frac{1+3+2}{8} = \frac{6}{8} = \frac{3}{4}$
- Solve the sixth problem
$\frac{3}{7} + \frac{1}{7} + \frac{4}{7} = \frac{3+1+4}{7} = \frac{8}{7}$
- Solve the seventh problem
$\frac{2}{9} + \frac{2}{9} + \frac{5}{9} = \frac{2+2+5}{9} = \frac{9}{9} = 1$
- Solve the eighth problem
$\frac{1}{6} + \frac{2}{6} + \frac{1}{6} = \frac{1+2+1}{6} = \frac{4}{6} = \frac{2}{3}$
- Solve the ninth problem
$\frac{1}{8} + \frac{2}{8} + \frac{5}{8} = \frac{1+2+5}{8} = \frac{8}{8} = 1$
- Solve the tenth problem
$\frac{2}{6} + \frac{2}{6} + \frac{2}{6} = \frac{2+2+2}{6} = \frac{6}{6} = 1$
- Solve the eleventh problem
$\frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{1+1+1}{5} = \frac{3}{5}$
- Solve the twelfth problem
$\frac{1}{5} + \frac{3}{5} + \frac{1}{5} = \frac{1+3+1}{5} = \frac{5}{5} = 1$
- Solve the thirteenth problem
$\frac{3}{8} + \frac{2}{8} + \frac{2}{8} = \frac{3+2+2}{8} = \frac{7}{8}$
- Solve the 14th problem
$\frac{2}{9} + \frac{1}{9} + \frac{5}{9} = \frac{2+1+5}{9} = \frac{8}{9}$
$1, \frac{5}{7}, 1, \frac{3}{4}, \frac{3}{4}, \frac{8}{7}, 1, \frac{2}{3}, 1, 1, \frac{3}{5}, 1, \frac{7}{8}, \frac{8}{9}$
More Information
When adding fractions with the same denominator, you only need to add the numerators. The denominator stays the same.
Tips
A common mistake is to add the denominators as well as the numerators. Remember, when the denominators are the same, you only add the numerators. Another common mistake is not simplifying the fraction at the end. For example, $\frac{6}{8}$ can be simplified to $\frac{3}{4}$.
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