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3 years ago

Work out, giving your answer in its simplest form: 4/7 divided by 2 1/3

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

12/49

Step-by-step explanation:

First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3

when doing division of fraction you have to remember this, KFG

KFG: Keep Flip Change

you keep the first number or fraction, which is 4/7

then you flip the sign, so you change division in to multiplication

after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7

Now the equation is

4/7 times 3/7, which is 12/49

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If three quarters of a number decreased by twenty is equal to eighty two, what is that number?

Studentka2010 [4]

A number is :

$x$

_________________________________

Three quarters of it means :

$\frac{3}{4}x \\$

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Decrease by 20 means :

$\frac{3}{4}x - 20 \\$

_________________________________

Equals to 82 means :

$\frac{3}{4}x - 20 = 82 \\$

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

$\frac{3}{4}x - 20 = 82 \\$

Plus sides 20

$\frac{3}{4}x = 82 + 20 \\$

$\frac{3}{4}x = 102 \\$

Multiply sides by 4

$3x = 102 \times 4$

Divided sides by 3

$x = \frac{102 \times 4}{3} \\$

$x = \frac{102}{3} \times 4 \\$

Simplify

$x = 34 \times 4$

$x = 136$

So that number is 136 .

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And we're done.

Thanks for watching buddy good luck.

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3 years ago