How did we get 8/10 ?

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

To get 810\frac{8}{10} from 45\frac{4}{5}, we used the concept of equivalent fractions.

  1. We wanted to add 45\frac{4}{5} and 510\frac{5}{10}.

    To do this, both fractions need to have the same denominator. We found that the least common denominator (LCD) for 5 and 10 is 10.

  2. We needed to convert 45\frac{4}{5} into an equivalent fraction with a denominator of 10.

    To change the denominator from 5 to 10, we multiply 5 by 2.

    5×2=105 \times 2 = 10
  3. To keep the fraction equivalent, whatever we multiply the denominator by, we must also multiply the numerator by the same number.

    So, we multiply the numerator 4 by 2 as well.

    4×2=84 \times 2 = 8
  4. This gives us the equivalent fraction

    45=4×25×2=810\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}

    This means 45\frac{4}{5} is the same value as 810\frac{8}{10}.

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