Question

4/5÷x=8/15 what is the value of x and also explain your answer pls​

Answer 1

Answer:

answer is 1.5 u can ✔️ check

Answer 2

$\large\sf\underline{Given\::}$

• $\sf\:\frac{4}{5} \div x =\frac{8}{15}$

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$\large\sf\underline{To\:find\::}$

• Value of x

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$\large\sf\underline{Solution\::}$

$\sf\to\:\frac{4}{5} \div x =\frac{8}{15}$

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• Now converting ÷ into × we know the fraction should be reversed

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$\sf\to\:\frac{4}{5} \times \frac{1}{x} =\frac{8}{15}$

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• Multiplying the fractions in LHS

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$\sf\to\:\frac{4}{5x} =\frac{8}{15}$

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• Cross multiplying

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$\sf\to\:5x \times 8 = 15 \times 4$

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• Multiplying simply

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$\sf\to\:40x = 60$

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• Transposing 40 to the other side it goes to denominator

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$\sf\to\:x = \cancel{\frac{60}{40}}$

$\small\fbox\red{→\:1.5}$ ⍟

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$\large\sf\underline{Verifying\::}$

$\sf\to\:\frac{4}{5} \div x =\frac{8}{15}$

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• Now converting ÷ into × we know the fraction should be reversed

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$\sf\to\:\frac{4}{5} \times \frac{1}{x} =\frac{8}{15}$

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• Substituiting the value of x

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$\sf\to\:\frac{4}{5} \times \frac{1}{1.5} =\frac{8}{15}$

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• Converting decimal into fraction form

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$\sf\to\:\frac{4}{5} \times \frac{10}{15} =\frac{8}{15}$

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• Now multiplying the fractions in LHS

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$\sf\to\:\frac{40}{75} =\frac{8}{15}$

$\sf\to\:\cancel{\frac{40}{75}} =\frac{8}{15}$

$\sf\to\:\frac{8}{15} =\frac{8}{15}$

${\sf{{\pink{[Hence\:Verified]}}}}$

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$\dag\:\underline{\sf So\:the\:required\:value\:of\:x\:is\:1.5}$‎ .

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!! Hope it helps !!