Find Common Denominator: Find a common denominator for 1/7, 3/5, and 2/10. The least common multiple of 7, 5, and 10 is 70, so we will use 70 as the common denominator.Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of 70. 1/7 = (1*10)/(7*10) = 10/70 3/5 = (3*14)/(5*14) = 42/70 2/10 = (2*7)/(10*7) = 14/70Add Fractions: Add the fractions with the common denominator. 10/70 + 42/70 + 14/70 = (10 + 42 + 14)/70Perform Addition: Perform the addition. 10 + 42 + 14 = 66 So, 10/70 + 42/70 + 14/70 = 66/70Simplify Fraction: Simplify the fraction 66/70 if possible. Both 66 and 70 are divisible by 2. 66/70 = (66/2)/(70/2) = 33/35

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Add $\frac{1}{7} + \frac{3}{5} + \frac{2}{10}$

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Math Problems

Grade 8

Add and subtract rational numbers

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\frac{1}{7} + \frac{3}{5} + \frac{2}{10}

Find Common Denominator: Find a common denominator for $\frac{1}{7}$ , $\frac{3}{5}$ , and $\frac{2}{10}$ . The least common multiple of $7$ , $5$ , and $10$ is $70$ , so we will use $70$ as the common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of $70$ . $\newline$ $1/7 = (1\times10)/(7\times10) = 10/70$ $\newline$ $3/5 = (3\times14)/(5\times14) = 42/70$ $\newline$ $2/10 = (2\times7)/(10\times7) = 14/70$
Add Fractions: Add the fractions with the common denominator. $\frac{10}{70} + \frac{42}{70} + \frac{14}{70} = \frac{(10 + 42 + 14)}{70}$
Perform Addition: Perform the addition. $\newline$ $10 + 42 + 14 = 66$ $\newline$ So, $\frac{10}{70} + \frac{42}{70} + \frac{14}{70} = \frac{66}{70}$
Simplify Fraction: Simplify the fraction $\frac{66}{70}$ if possible. $\newline$ Both $66$ and $70$ are divisible by $2$ . $\newline$ $\frac{66}{70} = \frac{(66/2)}{(70/2)} = \frac{33}{35}$