Dominic ran 11/12 of a mile and walked 1/12 of a mile. How much farther did Dominic run than walk? Write your answer as a fraction or as a whole or mixed number. _____ miles

Identify distances: First, let's identify the distances Dominic ran and walked. He ran 11/12 of a mile and walked 1/12 of a mile. Calculate difference: To find out how much farther Dominic ran than walked, we subtract the distance he walked from the distance he ran. So, we calculate 11/12 - 1/12. Subtract fractions: Subtracting the fractions, since the denominators are the same, we just subtract the numerators: 11 - 1 = 10. The denominator remains 12. So, 11/12 - 1/12 = 10/12. Simplify fraction: To simplify 10/12, we divide both the numerator and the denominator by their greatest common divisor, which is 2. So, 10 ÷ 2 = 5 and 12 ÷ 2 = 6. Therefore, 10/12 simplifies to 5/6.

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Dominic ran $\frac{11}{12}$ of a mile and walked $\frac{1}{12}$ of a mile. How much farther did Dominic run than walk? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ miles

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Grade 6

Add and subtract fractions with like denominators: word problems

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Q. Dominic ran

\frac{11}{12}

of a mile and walked

\frac{1}{12}

of a mile. How much farther did Dominic run than walk?

\newline

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

\newline

\_\_\_

miles

Identify distances: First, let's identify the distances Dominic ran and walked. He ran $\frac{11}{12}$ of a mile and walked $\frac{1}{12}$ of a mile.
Calculate difference: To find out how much farther Dominic ran than walked, we subtract the distance he walked from the distance he ran. So, we calculate $\frac{11}{12} - \frac{1}{12}$ .
Subtract fractions: Subtracting the fractions, since the denominators are the same, we just subtract the numerators: $11 - 1 = 10$ . The denominator remains $12$ . So, $\frac{11}{12} - \frac{1}{12} = \frac{10}{12}$ .
Simplify fraction: To simplify $\frac{10}{12}$ , we divide both the numerator and the denominator by their greatest common divisor, which is $2$ . So, $10 \div 2 = 5$ and $12 \div 2 = 6$ . Therefore, $\frac{10}{12}$ simplifies to $\frac{5}{6}$ .