# How do you simplify 7/(4r)-3/t?

Apr 24, 2017

See the solution process below:

#### Explanation:

If you want to simplify this expression by adding the two fractions you must first have each fraction over a common denominator. he Lowest Common Denominator for these two fractions is $4 r t$. Therefore we must first multiply each fraction by the appropriate form of $1$ to put each of them over this common denominator:

$\frac{7}{4 r} - \frac{3}{t} = \left(\frac{t}{t} \times \frac{7}{4 r}\right) - \left(\frac{4 r}{4 r} \times \frac{3}{t}\right) = \frac{t \times 7}{t \times 4 r} - \frac{4 r \times 3}{4 r \times t}$

$= \frac{7 t}{4 r t} - \frac{12 r}{4 r t}$

You can now add the numerators over the common denominator:

$\frac{7 t}{4 r t} - \frac{12 r}{4 r t} = \frac{7 t - 12 r}{4 r t}$