# Division of Fraction to Whole Number

after spending 3/8 of my salary, i had 980 left. How much is my monthly salary?

### Comments for Division of Fraction to Whole Number

 Feb 05, 2012 Word Problem - Fractions by: Staff Question: after spending 3/8 of my salary, i had 980 left. How much is my monthly salary? Answer: Before writing the equation, it’s probably a good idea to rewrite the verbal problem statement in a form that mimics the way you would ordinarily think about the problem: (Monthly Salary) - (Amount Spent) = (Amount Left) (Monthly Salary) - (3/8 of my salary) = (980 left) The question now is: what is 3/8 of my salary? Replace the word “of” with a multiplication sign. 3/8 * my salary Replace the words “my salary” with a “Monthly Salary”. 3/8 * (Monthly Salary) The equation now becomes: (Monthly Salary) - 3/8 * (Monthly Salary) = (980 left) Solve the equation for “Monthly Salary” Subtract 3/8 * (Monthly Salary) from the (Monthly Salary) 8/8 * (Monthly Salary) - 3/8 * (Monthly Salary) = (980 left) 5/8 * (Monthly Salary) = 980 Multiply each side of the equation by 8/5 (the reciprocal of 5/8). This multiplication will remove the 5/8 from the left side of the equation. (8/5) * (5/8) * (Monthly Salary) = (8/5) * 980 (8/5) * (5/8) * (Monthly Salary) = 1568 (8/8) * (5/5) * (Monthly Salary) = 1568 (1) * (1) * (Monthly Salary) = 1568 Monthly Salary = \$1568 >>> The final answer is: \$1568 Thanks for writing. Staff www.solving-math-problems.com

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