Multi-step Fraction Equations Worksheet
Solve multi-step equations involving fractions, combining like terms, and isolating variables.
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Multi-step Fraction Equations
Name:
Date:
Score:
Solve each multi-step fraction equation. Show all your work clearly. Simplify your answers to their lowest terms.
1. Solve for x: (2/3)x + 1/2 = 5/6
2. Solve for x: 3/4 - (1/5)x = 1/2
3. Fill in the blanks to solve the equation: (1/4)y + 3/8 = 1/2
Multiply by the LCD: 8 * [(1/4)y + 3/8] = 8 * (1/2)
y + =
Subtract 3 from both sides: y =
Divide by 2: y =
4. Which of the following is the correct solution for x in the equation: (5/2)x - 1/3 = 7/6?
x = 1/2
x = 1
x = 2/3
x = 3/5
5. A recipe calls for 2/3 cup of flour. If you only have 1/4 of the recipe's ingredients, and you want to make 3 times the original amount of the recipe, how much flour will you need?
6. The equation (1/2)x + (1/3) = (5/6)x has a solution where x is a positive integer.
True
False
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