Question

Do number 14 only Add or subtract write each sum or difference in simplest form

Answer 1

Answer:

$\frac{24}{35}$

Step-by-step explanation:

$\frac{9}{10} - \frac{3}{14}$

We need to determine the least common denominator (LCD) of 10 and 14 in order to subtract both fractions.  A great way to do so is finding their least common multiply (LCM):

The prime factors of 10 are: 1, 2, and 5

The prime factors of 14 are: 1, 2, 7.

Therefore, the LCM of 10 and 14 are: 1 × 2 × 5 × 7 = 70

The LCD of 10 and 14 is 70.

Next, we need to rewrite the given unlike fractions into like fractions using the LCD.

$\frac{9}{10}$ ×  $\frac{7}{7}$ = $\frac{63}{70}$

$\frac{3}{14}$ ×  $\frac{5}{5}$ = $\frac{15}{70}$

Subtract both fractions:

$\frac{63}{70}$ -  $\frac{15}{70}$ = $\frac{48}{70}$  

Reduce $\frac{48}{70}$ to its simplest form:

$\frac{48}{70}$ ÷ $\frac{2}{2}$ = $\frac{24}{35}$

Therefore, the correct answer is  $\frac{24}{35}$.