Math, asked by rayan026, 1 year ago

1 /4(1/4+1/3)-2/5 simplify

Answers

Answered by trinabh74
1
Hope you will understand this
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rayan026: thank you very much for sending with procedure
Answered by TooFree
2

 \textbf {Hey there, here is the solution.}

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 \dfrac{1}{4} \bigg(\dfrac{1}{4}+ \dfrac{1}{3}\bigg) - \dfrac{2}{5}

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Make the denominators the same:

 = \dfrac{1}{4} \bigg(\dfrac{1\times 3}{4 \times 3}+ \dfrac{1 \times4 }{3 \times 4}\bigg) - \dfrac{2}{5}

 = \dfrac{1}{4} \bigg(\dfrac{3}{12}+ \dfrac{4 }{12}\bigg) - \dfrac{2}{5}

.

Add the fractions:

 = \dfrac{1}{4} \bigg(\dfrac{7}{12}\bigg) - \dfrac{2}{5}

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Multiply the fractions:

 = \dfrac{7}{48} - \dfrac{2}{5}

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Make the denominators the same:

 = \dfrac{7 \times 5}{48 \times 5} - \dfrac{2 \times 48}{5 \times 48}

 = \dfrac{35}{240} - \dfrac{96}{240}

.

Subtract the fractions:

 =- \dfrac{61}{240}

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 \textbf {Cheers }


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