Simplify 3x÷15+x÷15−2x÷9

Question

ScanSolve AI Tutor · Accepted Answer

let's simplify the expression.

The expression is given as:

3x \div 15 + x \div 15 - 2x \div 9

Rewrite the division as fractions.
$\frac{3x}{15} + \frac{x}{15} - \frac{2x}{9}$
Combine the first two terms since they have the same denominator.
$\frac{3x+x}{15} - \frac{2x}{9}$ $\frac{4x}{15} - \frac{2x}{9}$
Find the least common multiple (LCM) of the denominators, 15 and 9.
The multiples of 15 are 15, 30, 45, 60, ...
The multiples of 9 are 9, 18, 27, 36, 45, 54, ...
The LCM of 15 and 9 is 45.
Convert each fraction to have a denominator of 45.
For the first term:
$\frac{4x}{15} = \frac{4x \times 3}{15 \times 3} = \frac{12x}{45}$
For the second term:
$\frac{2x}{9} = \frac{2x \times 5}{9 \times 5} = \frac{10x}{45}$
Perform the subtraction.
$\frac{12x}{45} - \frac{10x}{45} = \frac{12x - 10x}{45}$ $\frac{2x}{45}$

Simplify 3x÷15+x÷15-2x÷9