PrabhavA608322 PrabhavA608322
  • 26-10-2022
  • Mathematics
contestada

Find each difference. 7/10 - 2/5

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JakyiahM334346 JakyiahM334346
  • 26-10-2022

We have the following general rule for the substraction of fractions:

[tex]\begin{gathered} \frac{a}{b}-\frac{c}{d}=\frac{a\cdot d-b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}[/tex]

in this case, we have the following:

[tex]\frac{7}{10}-\frac{2}{5}=\frac{7\cdot5-2\cdot10}{10\cdot5}=\frac{35-20}{50}=\frac{15}{50}[/tex]

notice that 15 and 50 are multiples of 5,therefore:

[tex]\frac{15}{50}=\frac{3}{10}[/tex]

finally, we have that the result of the substraction is 3/10

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