4(1)/(2)÷(-1(3)/(7))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 4(1)/(2) = (4*2 + 1)/2 = 9/2 (-1(3)/(7)) = (-1*7 + 3)/7 = (-7 + 3)/7 = -4/7Divide by Reciprocal: Divide the fractions by multiplying by the reciprocal. (9/2) ÷ (-4/7) = (9/2) * (-7/4)Multiply Numerators and Denominators: Multiply the numerators and denominators. (9 * -7) / (2 * 4) = -63 / 8Simplify Fraction: Simplify the fraction if possible. -63/8 cannot be simplified further.

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Math Problems

Grade 8

Powers with negative bases

Full solution

4 \frac{1}{2} \div\left(-1 \frac{3}{7}\right)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $4\frac{1}{2} = \frac{4\times 2 + 1}{2} = \frac{9}{2}$ $\newline$ $(-1\frac{3}{7}) = \frac{-1\times 7 + 3}{7} = \frac{-7 + 3}{7} = -\frac{4}{7}$
Divide by Reciprocal: Divide the fractions by multiplying by the reciprocal. $\newline$ $(\frac{9}{2}) \div (\frac{-4}{7}) = (\frac{9}{2}) \times (\frac{-7}{4})$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ $(9 \times -7) / (2 \times 4) = -63 / 8$
Simplify Fraction: Simplify the fraction if possible. $\newline$ $-\frac{63}{8}$ cannot be simplified further.