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Add. $\newline$ $\frac{9}{10} + \frac{3}{5} =$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{9}{10} + \frac{3}{5} =

_____

Identify Common Denominator: Identify a common denominator for $\frac{9}{10}$ and $\frac{3}{5}$ . Both denominators, $10$ and $5$ , can use $10$ as a common denominator since $5$ is a factor of $10$ .
Convert to Denominator of $10$ : Convert \frac{ $3$ }{ $5$ } to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ \frac{ $3$ }{ $5$ } \times \frac{ $2$ }{ $2$ } = \frac{ $6$ }{ $10$ }
Add Fractions with Common Denominator: Add the two fractions with the common denominator. $\frac{9}{10} + \frac{6}{10} = \frac{(9+6)}{10}$
Perform Numerator Addition: Perform the addition of the numerators. $9 + 6 = 15$ So, $\frac{9}{10} + \frac{6}{10} = \frac{15}{10}$
Simplify Fraction: Simplify the fraction $\frac{15}{10}$ if possible. $\newline$ $\frac{15}{10}$ can be simplified to $\frac{3}{2}$ because both the numerator and the denominator are divisible by $5$ .

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