1(2)/(7)÷(-2(1)/(4))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 1(2)/(7) = (7*1 + 2)/7 = 9/7 -2(1)/(4) = (-4*2 - 1)/4 = -9/4Divide by Reciprocal: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. (9/7) ÷ (-9/4) = (9/7) * (-4/9)Simplify Expression: Simplify the expression by canceling out common factors. The 9s cancel out, so we get: (1/7) * (-4/1) = -4/7Check for Simplification: Check the result for any possible simplification. -4/7 cannot be simplified further.

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Math Problems

Grade 6

Multiply and divide decimals by powers of ten

Full solution

1 \frac{2}{7} \div\left(-2 \frac{1}{4}\right)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $1\frac{2}{7} = \frac{7\times1 + 2}{7} = \frac{9}{7}$ $\newline$ $-2\frac{1}{4} = \frac{-4\times2 - 1}{4} = \frac{-9}{4}$
Divide by Reciprocal: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{9}{7}) \div (\frac{-9}{4}) = (\frac{9}{7}) \times (\frac{-4}{9})$
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ The $9s$ cancel out, so we get: $\newline$ $(\frac{1}{7}) \times (\frac{-4}{1}) = \frac{-4}{7}$
Check for Simplification: Check the result for any possible simplification. $\newline$ $-\frac{4}{7}$ cannot be simplified further.