Convert to Improper Fraction: First, let's convert the mixed number to an improper fraction. 5 2/15 is the same as (5 * 15 + 2)/15, which is (75 + 2)/15. Calculation: 5 * 15 + 2 = 77, so 5 2/15 = 77/15.Subtract Whole Number: Now, we need to subtract the fraction from the whole number. To do this, we can convert 17 to a fraction with the same denominator as 77/15. So, 17 becomes 17 * 15/15. Calculation: 17 * 15 = 255, so 17 = 255/15.Subtract Fractions: Next, we subtract the two fractions. We have 255/15 - 77/15. Calculation: 255 - 77 = 178, so 255/15 - 77/15 = 178/15.Simplify Fraction: Finally, we can simplify the fraction 178/15 by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case. So, the fraction remains 178/15. Calculation: 178 ÷ 1 = 178, 15 ÷ 1 = 15, so 178/15 is already in its simplest form.

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Simplify. $\newline$ $17-5\frac{2}{15}$

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Math Problems

Grade 6

Evaluate numerical expressions involving integers

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Q. Simplify.

\newline

17-5\frac{2}{15}

Convert to Improper Fraction: First, let's convert the mixed number to an improper fraction. $5 \frac{2}{15}$ is the same as $(5 \times 15 + 2)/15$ , which is $(75 + 2)/15$ . $\newline$ Calculation: $5 \times 15 + 2 = 77$ , so $5 \frac{2}{15} = \frac{77}{15}$ .
Subtract Whole Number: Now, we need to subtract the fraction from the whole number. To do this, we can convert $17$ to a fraction with the same denominator as $\frac{77}{15}$ . So, $17$ becomes $17 \times \frac{15}{15}$ . $\newline$ Calculation: $17 \times 15 = 255$ , so $17 = \frac{255}{15}$ .
Subtract Fractions: Next, we subtract the two fractions. We have $\frac{255}{15} - \frac{77}{15}$ . $\newline$ Calculation: $255 - 77 = 178$ , so $\frac{255}{15} - \frac{77}{15} = \frac{178}{15}$ .
Simplify Fraction: Finally, we can simplify the fraction $\frac{178}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $1$ in this case. So, the fraction remains $\frac{178}{15}$ . $\newline$ Calculation: $178 \div 1 = 178$ , $15 \div 1 = 15$ , so $\frac{178}{15}$ is already in its simplest form.