Solve for m
m=-\frac{20}{21}\approx -0.952380952
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-\frac{5}{7}=\frac{3}{4}m
Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.
\frac{3}{4}m=-\frac{5}{7}
Swap sides so that all variable terms are on the left hand side.
m=-\frac{5}{7}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
m=\frac{-5\times 4}{7\times 3}
Multiply -\frac{5}{7} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
m=\frac{-20}{21}
Do the multiplications in the fraction \frac{-5\times 4}{7\times 3}.
m=-\frac{20}{21}
Fraction \frac{-20}{21} can be rewritten as -\frac{20}{21} by extracting the negative sign.
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