Solve ds^2400/5000-10/105/40/m^2x^2

Evaluate

d s^{2} \times \frac{400}{5000} - \frac{10}{105} \div (\frac{40}{m ^{2}} \times x^{2})

Cancel out the common factor 200

d s^{2} \times \frac{2}{25} - \frac{10}{105} \div (\frac{40}{m ^{2}} \times x^{2})

Cancel out the common factor 5

d s^{2} \times \frac{2}{25} - \frac{2}{21} \div (\frac{40}{m ^{2}} \times x^{2})

Multiply the terms

d s^{2} \times \frac{2}{25} - \frac{2}{21} \div \frac{40 x ^{2}}{m ^{2}}

Use the commutative property to reorder the terms

\frac{2}{25} d s^{2} - \frac{2}{21} \div \frac{40 x ^{2}}{m ^{2}}

Divide the terms

More Steps

\frac{2}{25} d s^{2} - \frac{m ^{2}}{420 x ^{2}}

Rewrite the expression

\frac{2 d s ^{2}}{25} - \frac{m ^{2}}{420 x ^{2}}

Reduce fractions to a common denominator

\frac{2 d s ^{2} \times 84 x ^{2}}{25 \times 84 x ^{2}} - \frac{m ^{2} \times 5}{420 x ^{2} \times 5}

Multiply the numbers

\frac{2 d s ^{2} \times 84 x ^{2}}{2100 x ^{2}} - \frac{m ^{2} \times 5}{420 x ^{2} \times 5}

Multiply the numbers

\frac{2 d s ^{2} \times 84 x ^{2}}{2100 x ^{2}} - \frac{m ^{2} \times 5}{2100 x ^{2}}

Write all numerators above the common denominator

\frac{2 d s ^{2} \times 84 x ^{2} - m ^{2} \times 5}{2100 x ^{2}}

Multiply the terms

\frac{168 d s ^{2} x ^{2} - m ^{2} \times 5}{2100 x ^{2}}

Solution

\frac{168 d s ^{2} x ^{2} - 5 m ^{2}}{2100 x ^{2}}

Simplify the expression