Using Decimals and Fractions to Solve One-Step Equations
To solve a one-step equation containing decimals or fractions, apply the inverse operation to both sides, keeping the number in whichever form is easier to work with. The examples below show both approaches on the same equations, with practice problems and answers.
By understanding how to use decimals and fractions, you can simply solve One-Step multiplication and division.
A step-by-step guide to using decimals and fractions to solve One-Step multiplication and division
1-step equations are the ones requiring a single step to solve. It means only one operation is needed to isolate or resolve the variable.
To divide fractions, follow these steps:
Step 1: Find out the reciprocal. It means you must reverse the place of the numerator and the denominator of the fraction.
Step 2: Multiply the 2 numerators.
Step 3: Multiply the 2 denominators.
Step 4: Simplify the fractions if it is possible.
To convert a fraction to a decimal, you must use division: Divide its numerator by its denominator.
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Using Decimals and Fractions to Solve One-Step Multiplication and Division, Example 1
Solve (u×frac{2}{3}=frac{6}{9})
Solution:
To get the variable u alone on the side of the equation, inverse the operation.
(u=frac{6}{9}÷frac{2}{3}→frac{6}{9}×frac{3}{2}=frac{18}{18}=1)
Using Decimals and Fractions to Solve One-Step Multiplication and Division, Example 2
Solve (h÷2.5=6)
Solution:
To get the variable u alone on the side of the equation, inverse the operation.
(h=6×2.5=15)
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