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  • Mastering Percentages: A Step‑by‑Step Guide to Calculating and Solving Percent Problems

    By David Sandoval • Updated Aug 30, 2022

    Hemera Technologies/AbleStock.com/Getty Images

    Percentages are simply another way to express fractions—both break down a whole into parts. By converting a fraction to a decimal, you can perform any arithmetic operation before turning the result back into a percentage.

    Step 1: Convert the First Fraction

    Use a calculator to divide the numerator by the denominator of the first fraction, then note the decimal value.

    Step 2: Convert the Second Fraction

    Repeat the division for the second fraction and record its decimal equivalent.

    Step 3: Perform the Desired Operation

    With both decimals in hand, apply the required arithmetic. For example, to add 1/4 and 1/5: 1/4 = 0.25, 1/5 = 0.20; 0.25 + 0.20 = 0.45.

    Step 4: Convert Back to a Percentage

    Multiply the final decimal by 100. In the example, 0.45 × 100 = 45 %, yielding the answer.

    What You’ll Need

    • Two fractions
    • Calculator
    • Pen or pencil
    • Paper
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