Add. 1/10 + 2/5 = _____

Find Common Denominator: Find a common denominator for the fractions 1/10 and 2/5. The least common denominator between 10 and 5 is 10. 1/10 remains as 1/10. 2/5 needs to be converted to tenths: (2/5) * (2/2) = 4/10.Add Fractions: Add the two fractions now that they have the same denominator. 1/10 + 4/10 = 5/10.Simplify Fraction: Simplify the fraction 5/10 to its lowest terms. 5/10 can be simplified by dividing both the numerator and the denominator by 5. 5/10 = 1/2.

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Math Problems

Grade 7

Add and subtract fractions

Full solution

Q. Add.

\newline

\frac{1}{10} + \frac{2}{5} =

_____

Find Common Denominator: Find a common denominator for the fractions $\frac{1}{10}$ and $\frac{2}{5}$ . The least common denominator between $10$ and $5$ is $10$ . $\frac{1}{10}$ remains as $\frac{1}{10}$ . $\frac{2}{5}$ needs to be converted to tenths: $\left(\frac{2}{5}\right) \times \left(\frac{2}{2}\right) = \frac{4}{10}.$
Add Fractions: Add the two fractions now that they have the same denominator. $\frac{1}{10} + \frac{4}{10} = \frac{5}{10}$ .
Simplify Fraction: Simplify the fraction $\frac{5}{10}$ to its lowest terms. $\newline$ $\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by $5$ . $\newline$ $\frac{5}{10} = \frac{1}{2}$ .