How is number one 7/12

Mathematics

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Answer

712\frac{7}{12}

Step-by-step solution

3 steps

To add fractions, you need a common denominator.

  1. Find the least common multiple (LCM) of the denominators 3 and 4.

    The multiples of 3 are 3, 6, 9, 12, 15, ...
    The multiples of 4 are 4, 8, 12, 16, ...
    The LCM of 3 and 4 is 12.

  2. Convert each fraction to an equivalent fraction with a denominator of 12.

    For 13\frac{1}{3}: Multiply the numerator and denominator by 4.

    13=1×43×4=412\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}

    For 14\frac{1}{4}: Multiply the numerator and denominator by 3.

    14=1×34×3=312\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
  3. Add the new fractions with the common denominator.

    412+312=4+312=712\frac{4}{12} + \frac{3}{12} = \frac{4 + 3}{12} = \frac{7}{12}

    The sum is 712\frac{7}{12}.

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