Question

Simplify this :-

$a)11 \div \frac{5}{6} \\ \\ b) \frac{16}{6} \div \frac{21}{2}$
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Answer 1

Answer:

What is 11 divided by 5/6?

Here we will show you how to calculate 11 divided by 5/6. We will give you the answer in fraction form and in decimal form.

Here is 11 divided by 5/6 displayed mathematically in colors:

11

÷

5/

6

The numbers in 11 divided by 5/6 are labeled below:

11 = whole number

5 = numerator

6 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

11 x 6

5

=

66

5

Thus, the answer to 11 divided by 5/6 in fraction form is:

66

5

To make the answer to 11 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

66 / 5 = 13.2

The answer is rounded to the nearest two decimal points if necessary.

66/5 is an improper fraction and should be written as 13 1/5.

SIMILARLY...

16/6÷21/2=0.25396825396

Step-by-step explanation:

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Answer 2

$11 \div \frac{5}{6}$

Divide 11 by 5/6 by multiplying 11 by the reciprocal of 5/6.

11×(6/5)

Express 11×(6/5) as a single fraction.

11×6/5

Multiply 11 and 6 to get 66.

$\frac{66}{5}$

$\frac{16}{6} \div \frac{21}{2}$

Divide 16/6 by 21/2 by multiplying 16/6 by the reciprocal of 21/2.

$\frac{16 \times 2}{6 \times 21}$

Cancel out 2 in both numerator and denominator.

$\frac{2 \times 8}{3 \times 21}$

Multiply 2 and 8 to get 16.

$\frac{16}{3 \times 21}$

Multiply 3 and 21 to get 63.

$\frac{16}{63}$