Q18. - Algebra 1

Question

The simplified form of $\frac{7}{15}-\frac{2}{15}$.

Step-by-Step Solution

Answer

The simplified form of $\frac{7}{15}-\frac{2}{15}$ is $\frac{1}{3}$.

Step 1. Given.

The statement “$\frac{7}{15}-\frac{2}{15}$.”

Step 2. Concept.

When two or more fractions with the same denominators are added or subtracted then only numerators are added or subtracted, the denominator remains unchanged.

Step 3. Calculation.

Consider the provided statement “$\frac{7}{15}-\frac{2}{15}$.”

 

Recall that when two fractions having the same denominator are subtracted then only numerators are subtracted, the denominator remains unchanged.

 

So, the given expression can be simplified as,

$\frac{7}{15}-\frac{2}{15}=\frac{7-2}{15}$

$\frac{7}{15}-\frac{2}{15}=\frac{5}{15}$

Step 4. Recheck.

Now, 5 can be written as the product of 5 and 1.

15  can be written as the product of 5 and 3.

So, $\frac{5}{15}$ can be further simplified as,

$\frac{5}{15}=\frac{5\times 1}{5\times 3}$

Striking off the common terms, we get,

$\frac{5}{15}=\frac{1}{3}$ 

Hence, the simplified form of $\frac{7}{15}-\frac{2}{15}$ is $\frac{1}{3}$.