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add. \\(\frac{9}{10} + \frac{1}{2} = square\\) use the model to help yo…

Question

add.
\\(\frac{9}{10} + \frac{1}{2} = square\\)
use the model to help you.
\\(\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\\frac{1}{10}\\+ quad \frac{1}{2}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 10 and 2 is 10. Rewrite $\frac{1}{2}$ with denominator 10:
$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$

Step2: Add the fractions

Add the numerators while keeping the denominator the same:
$\frac{9}{10} + \frac{5}{10} = \frac{9 + 5}{10} = \frac{14}{10}$

Step3: Simplify the fraction

Reduce the fraction to lowest terms:
$\frac{14}{10} = \frac{7}{5}$ (or $1\frac{2}{5}$ as a mixed number)

Answer:

$\frac{7}{5}$ (or $1\frac{2}{5}$)