Add. 9/10 + 3/5=_____

Identify Common Denominator: Identify a common denominator for 9/10 and 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 3/5 to a fraction with a denominator of 10. To do this, multiply both the numerator and the denominator by 2. 3/5 * 2/2 = 6/10Add Fractions with Common Denominator: Add the two fractions with the common denominator. 9/10 + 6/10 = (9+6)/10Perform Numerator Addition: Perform the addition of the numerators. 9 + 6 = 15 So, 9/10 + 6/10 = 15/10Simplify Fraction: Simplify the fraction 15/10 if possible. 15/10 can be simplified to 3/2 because both the numerator and the denominator are divisible by 5.

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

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Algebra 1

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 $5$ .