Simplify 3x÷15+x÷15-2x÷9

Mathematics

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Answer

2x45\frac{2x}{45}

You're on a roll — let's simplify the expression.

The expression is given as: 3x÷15+x÷15−2x÷93x \div 15 + x \div 15 - 2x \div 9

Step 1: Rewrite the division as fractions. 3x15+x15−2x9\frac{3x}{15} + \frac{x}{15} - \frac{2x}{9}

Step 2: Combine the first two terms since they have the same denominator. 3x+x15−2x9\frac{3x+x}{15} - \frac{2x}{9} 4x15−2x9\frac{4x}{15} - \frac{2x}{9}

Step 3: 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.

Step 4: Convert each fraction to have a denominator of 45. For the first term: 4x15=4x×315×3=12x45\frac{4x}{15} = \frac{4x \times 3}{15 \times 3} = \frac{12x}{45} For the second term: 2x9=2x×59×5=10x45\frac{2x}{9} = \frac{2x \times 5}{9 \times 5} = \frac{10x}{45}

Step 5: Perform the subtraction. 12x45−10x45=12x−10x45\frac{12x}{45} - \frac{10x}{45} = \frac{12x - 10x}{45} 2x45\frac{2x}{45}

The simplified expression is 2x45\boxed{\frac{2x}{45}}.

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You're on a roll — let's simplify the expression. The expression is given as: 3x ÷ 15 + x ÷ 15 - 2x ÷ 9 Step 1: Rewrite the division as fractions.

Simplify 3x÷15+x÷15-2x÷9
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
You're on a roll — let's simplify the expression. The expression is given as: 3x ÷ 15 + x ÷ 15 - 2x ÷ 9 Step 1: Rewrite the division as fractions. (3x)/(15) + (x)/(15) - (2x)/(9) Step 2: Combine the first two terms since they have the same denominator. (3x+x)/(15) - (2x)/(9) (4x)/(15) - (2x)/(9) Step 3: 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. Step 4: Convert each fraction to have a denominator of 45. For the first term: (4x)/(15) = (4x × 3)/(15 × 3) = (12x)/(45) For the second term: (2x)/(9) = (2x × 5)/(9 × 5) = (10x)/(45) Step 5: Perform the subtraction. (12x)/(45) - (10x)/(45) = (12x - 10x)/(45) (2x)/(45) The simplified expression is (2x)/(45). What's next? Send 'em!