Elena has been monitoring her mileage. According to last week's driving log, she drove 2/5 of a mile in her car and 1/2 of a mile in her truck. How far did Elena drive last week in all? Write your answer as a fraction or as a whole or mixed number. _____ miles

Identify fractions: Step 1: Identify the fractions to add. Elena drove 2/5 mile in her car and 1/2 mile in her truck. We need to add these fractions. 2/5 + 1/2Find common denominator: Step 2: Find a common denominator. The denominators are 5 and 2. The least common denominator (LCD) is 10. 2/5 = (2*2)/(5*2) = 4/10 1/2 = (1*5)/(2*5) = 5/10Add fractions: Step 3: Add the fractions. 4/10 + 5/10 = 9/10

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Elena has been monitoring her mileage. According to last week's driving log, she drove $\frac{2}{5}$ of a mile in her car and $\frac{1}{2}$ of a mile in her truck. How far did Elena drive last week in all? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ miles

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Math Problems

Grade 8

Add and subtract rational numbers: word problems

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Q. Elena has been monitoring her mileage. According to last week's driving log, she drove

\frac{2}{5}

of a mile in her car and

\frac{1}{2}

of a mile in her truck. How far did Elena drive last week in all?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ miles

Identify fractions: Step $1$ : Identify the fractions to add. $\newline$ Elena drove $\frac{2}{5}$ mile in her car and $\frac{1}{2}$ mile in her truck. We need to add these fractions. $\newline$ $\frac{2}{5} + \frac{1}{2}$
Find common denominator: Step $2$ : Find a common denominator. $\newline$ The denominators are $5$ and $2$ . The least common denominator (LCD) is $10$ . $\newline$ $\frac{2}{5} = \left(\frac{2\times2}{5\times2}\right) = \frac{4}{10}$ $\newline$ $\frac{1}{2} = \left(\frac{1\times5}{2\times5}\right) = \frac{5}{10}$
Add fractions: Step $3$ : Add the fractions. $\newline$ $\frac{4}{10} + \frac{5}{10} = \frac{9}{10}$