Convert to Improper Fraction: Convert the mixed number 1 7/9 to an improper fraction. 1 7/9 = (9*1 + 7)/9 = 16/9Divide by Fraction: Divide the improper fraction 16/9 by the fraction 4/5. To divide by a fraction, multiply by its reciprocal. 16/9 * 5/4 = (16*5)/(9*4)Perform Multiplication: Perform the multiplication to find the result. (16*5)/(9*4) = 80/36Simplify Fraction: Simplify the fraction 80/36 by finding the greatest common divisor (GCD) of 80 and 36. The GCD of 80 and 36 is 4. 80/36 ÷ 4/4 = 20/9Convert to Mixed Number: Convert the improper fraction 20/9 back to a mixed number. 20/9 = 2 2/9

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$1 \frac{7}{9} \text{ DIVIDE BY } \frac{4}{5}$

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Math Problems

Grade 6

Add, subtract, multiply, or divide two fractions

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1 \frac{7}{9} \text{ DIVIDE BY } \frac{4}{5}

Convert to Improper Fraction: Convert the mixed number $1 \frac{7}{9}$ to an improper fraction. $\newline$ $1 \frac{7}{9} = (9\times1 + 7)/9 = \frac{16}{9}$
Divide by Fraction: Divide the improper fraction $\frac{16}{9}$ by the fraction $\frac{4}{5}$ . $\newline$ To divide by a fraction, multiply by its reciprocal. $\newline$ $\frac{16}{9} \times \frac{5}{4} = \frac{16 \times 5}{9 \times 4}$
Perform Multiplication: Perform the multiplication to find the result. $\newline$ $(16 \times 5)/(9 \times 4) = 80/36$
Simplify Fraction: Simplify the fraction $\frac{80}{36}$ by finding the greatest common divisor (GCD) of $80$ and $36$ . The GCD of $80$ and $36$ is $4$ . $\frac{80}{36} \div \frac{4}{4} = \frac{20}{9}$
Convert to Mixed Number: Convert the improper fraction $\frac{20}{9}$ back to a mixed number. $\frac{20}{9} = 2 \frac{2}{9}$