1(2)/(3)÷(-2(3)/(4))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 1(2)/(3) = (3*1 + 2)/3 = 5/3 -2(3)/(4) = (-4*2 - 3)/4 = -11/4Divide by Reciprocal: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. (5/3) ÷ (-11/4) = (5/3) * (-4/11)Multiply Numerators and Denominators: Multiply the numerators and the denominators. (5 * -4) / (3 * 11) = -20 / 33

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

Full solution

1 \frac{2}{3} \div\left(-2 \frac{3}{4}\right)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $1\frac{2}{3} = \frac{3\times1 + 2}{3} = \frac{5}{3}$ $\newline$ $-2\frac{3}{4} = \frac{-4\times2 - 3}{4} = \frac{-11}{4}$
Divide by Reciprocal: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{5}{3}) \div (\frac{-11}{4}) = (\frac{5}{3}) \times (\frac{-4}{11})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(5 \times -4) / (3 \times 11) = -20 / 33$