Mathematics

11.01.2021 02:58

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What is the quotient in simplest form? 3/4 divided by 5/16 15/64 15/16 2 2/5 2 8/20

What is the quotient in simplest form?
3/4 divided by 5/16
15/64
15/16
2 2/5
2 8/20

Show Answers

deasiamonay14

5,0(74 marks)

2 2/5

Step-by-step explanation:

The quotient means the answer to a division problem.

$\frac{3}{4} / \frac{5}{16}$

Flip the second fraction's top and bottom. This becomes a multiplication problem.

$=\frac{3}{4} * \frac{16}{5}$ Multiply the two numerators, multiply the two denominators

$=\frac{3*16}{4*5}$ Simplify

$=\frac{48}{20}$ Reduce this fraction. Top and bottom are divisible by 4.

$=\frac{12}{5}$ This is an improper fraction (top number is greater than bottom)

12/5 is not an option, so we can change it to a mixed fraction, which we take out a whole number (written bigger beside the fraction).

One whole number is worth "5" in the numerator.

$\frac{12}{5}$

$=\frac{5+5+2}{5}$ Separate the numerator to find how many wholes there are

$=2\frac{2}{5}$ There were two "5"s, so two wholes. It leaves 2 in the numerator.

Angel13613

4,7(79 marks)

I think the answer is 400.

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What is the quotient in simplest form? 3/4 divided by 5/16 15/64 15/16 2 2/5 2 8/20

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