Add. 3/10 + 4/5=_____

Identify Common Denominator: Identify a common denominator for 3/10 and 4/5. Both fractions can be expressed with a common denominator of 10, since 5 is a factor of 10.Convert 4/5 to 10: Convert 4/5 to a fraction with a denominator of 10. To do this, multiply both the numerator and the denominator by 2. 4/5 * 2/2 = 8/10Add Fractions: Add the two fractions with the common denominator. 3/10 + 8/10 = (3+8)/10Perform Addition: Perform the addition in the numerator. 3+8 = 11 So, 3/10 + 8/10 = 11/10Simplify Fraction: Simplify the fraction if possible. 11/10 is already in its simplest form, as 11 and 10 have no common factors other than 1.

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Add. $\newline$ $\frac{3}{10} + \frac{4}{5}=$ _____

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Algebra 1

Add and subtract rational numbers

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Q. Add.

\newline

\frac{3}{10} + \frac{4}{5}=

_____

Identify Common Denominator: Identify a common denominator for $\frac{3}{10}$ and $\frac{4}{5}$ . Both fractions can be expressed with a common denominator of $10$ , since $5$ is a factor of $10$ .
Convert $\frac{4}{5}$ to $10$ : Convert $\frac{4}{5}$ to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{4}{5} \times \frac{2}{2} = \frac{8}{10}$
Add Fractions: Add the two fractions with the common denominator. $\newline$ $\frac{3}{10} + \frac{8}{10} = \frac{(3+8)}{10}$
Perform Addition: Perform the addition in the numerator. $\newline$ $3+8 = 11$ $\newline$ So, $\frac{3}{10} + \frac{8}{10} = \frac{11}{10}$
Simplify Fraction: Simplify the fraction if possible. $\frac{11}{10}$ is already in its simplest form, as $11$ and $10$ have no common factors other than $1$ .