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Find a common denominator for all fractions.

Mathematics

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Answer

15,14,13,12\frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}

Step-by-step solution

4 steps

  1. Find a common denominator for all fractions.

    The given fractions are 13,12,14,15\frac{1}{3}, \frac{1}{2}, \frac{1}{4}, \frac{1}{5}.
    The denominators are 3, 2, 4, and 5.
    The least common multiple (LCM) of 2, 3, 4, and 5 is 60.

  2. Convert each fraction to an equivalent fraction with a denominator of 60.

    13=1×203×20=2060\frac{1}{3} = \frac{1 \times 20}{3 \times 20} = \frac{20}{60} 12=1×302×30=3060\frac{1}{2} = \frac{1 \times 30}{2 \times 30} = \frac{30}{60} 14=1×154×15=1560\frac{1}{4} = \frac{1 \times 15}{4 \times 15} = \frac{15}{60} 15=1×125×12=1260\frac{1}{5} = \frac{1 \times 12}{5 \times 12} = \frac{12}{60}

  3. Arrange the fractions in ascending order by comparing their numerators.

    The numerators are 20, 30, 15, 12.
    Arranging them in ascending order: 12, 15, 20, 30.
    So, the fractions in ascending order are:

    1260,1560,2060,3060\frac{12}{60}, \frac{15}{60}, \frac{20}{60}, \frac{30}{60}

  4. Write the original fractions in the determined order.

    15,14,13,12\frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}
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