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tensa zangetsu [6.8K]
2 years ago
10

Can anybody explain how to subtract mixed fractions?

Mathematics
2 answers:
Ilya [14]2 years ago
7 0

Answer:

  • <em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
  • if the denominators are not the same, work out the common denominator and <em>rewrite </em>the fractions with the same denominators
  • subtract by subtracting the numerators and writing the result over the denominator
  • convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

3\frac23-1\frac45

convert to improper fractions:

\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}

common denominator = 3 × 5 = 15, so:

\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}

subtract:

\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}

convert back to mixed fractions:

28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}

antiseptic1488 [7]2 years ago
6 0
<h3>How do we subtract mixed fractions?</h3>

<u>To subtract mixed fractions, we must follow the steps:</u>

  1. <em>Convert the </em><em>mixed fraction</em><em> to </em><em>improper fraction.</em>

    2.<em> Multiply the </em><u><em>denominator</em></u><em> and the </em><u><em>numerator</em></u><em> by the </em><u><em>LCM</em></u><em> of the                          </em><u><em>denominators</em></u><em> to make the </em><u><em>denominators</em></u><em> same.                                                  </em><em>P.S:</em><em> (If the </em><u><em>denominators</em></u><em> are the same, you can skip this step).</em>

<em>     3. Simplify the fractions. (The </em><u><em>denominators</em></u><em> do not change).</em>

<em>     4. (Optional) Convert the fractions to </em><em>mixed fraction.</em>

<h3>Solving an example:</h3>

<em>Let's take an example. </em>

  • ⇒ 4 \frac{2}{5} - 3 \frac{3}{8}

<u>Step-1: Convert the fractions to </u><u>improper fraction:</u>

  • ⇒ 4 \frac{2}{5} - 3 \frac{3}{8}
  • ⇒ \frac{(4)(5) + 2}{5} -  \frac{(3)(8) + 3}{8}
  • ⇒ \frac{20 + 2}{5} -  \frac{24+ 3}{8}
  • ⇒ \frac{22}{5} -  \frac{27}{8}

<u>Step-2: Make the denominators same:</u>

  • ⇒ \frac{22}{5} -  \frac{27}{8}
  • ⇒ \frac{(22)(8)}{(5)(8)} -  \frac{(27)(5)}{(8)(5)}
  • ⇒ \frac{176}{40} -  \frac{135}{40}

<u>Step-3: Subtract:</u>

  • ⇒ \frac{176}{40} -  \frac{135}{40}
  • ⇒ \frac{41}{40}

<u>Step-4: Convert the fraction to </u><u>mixed fraction:</u>

  • ⇒ \frac{41}{40}
  • ⇒ \frac{40}{40} + \frac{1}{40}
  • ⇒ 1 + \frac{1}{40}
  • ⇒ 1\frac{1}{40}
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