Question

`(1 )/(4 ) * (3)/(4) / (10)/(3)`

What is the answer to the above equation?
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Answer 1

`\bf{(1)/(4)*(3)/(4)/(10)/(3) }`

Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

`\bf{(1*3)/(4*4)/(10)/(3) \ \ \to \ \ \ Multiply.}`

Do the multiplications in the fraction 1 × 3 / 4 × 4.

`\bf{(3)/(16)/(10)/(3) }`

Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.

`\bf{(3)/(16)*\left((3)/(10)\right) }`

Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

`\bf{(3*3)/(16*10 ) \ \ \to \ \ \ Multiply }`

Do the multiplications in the fraction 3 × 3 / 16 × 10

`\bf{(9)/(160) \ \ \to \ \ Answer }`

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Answer 2

Explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10 Combine

(3*3)/(16* 10)

9 / 160

0.05625