Divide. Write your answer in simplest form. m - 4/10m^3 - 6m^2 ÷ 7/5 ______

Question

Bytelearn · Accepted Answer

Rewrite Division as Multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. (m - 4)/(10m^3 - 6m^2) ÷ 7/5 can be rewritten as (m - 4)/(10m^3 - 6m^2) × 5/7.Factor Out GCF: Factor out the greatest common factor (GCF) from the denominator of the first fraction. 10m^3 - 6m^2 can be factored by taking out 2m^2, which gives us 2m^2(5m - 3). So, the factored form of the first fraction is (m - 4)/(2m^2(5m - 3)).Multiply Numerators and Denominators: Multiply the numerators and the denominators of the two fractions. (m - 4)/(2m^2(5m - 3)) × 5/7 results in ((m - 4) × 5) / (2m^2(5m - 3) × 7).Simplify Expression: Simplify the expression by performing the multiplication. ((m - 4) × 5) / (2m^2(5m - 3) × 7) simplifies to (5m - 20) / (14m^2(5m - 3)).Check for Common Factors: Check if there are any common factors that can be canceled out from the numerator and the denominator. There are no common factors between (5m - 20) and (14m^2(5m - 3)), so the expression is already in its simplest form.

Divide. Write your answer in simplest form. $\newline$ $\frac{m - 4}{10m^3 - 6m^2} \div \frac{7}{5}$

Full solution

More problems from Multiply and divide rational expressions

Related topics

Divide. Write your answer in simplest form. \newlinem−410m3−6m2÷75\frac{m - 4}{10m^3 - 6m^2} \div \frac{7}{5}10m3−6m2m−4​÷57​

Divide. Write your answer in simplest form. $\newline$ $\frac{m - 4}{10m^3 - 6m^2} \div \frac{7}{5}$