15/16 × 5/6 Reduce your answers to simplest form

1 answer:

4 0

25/32 is the answer.
15/6 x 5/6 = 75/96 = 25/32
(divide by 3)
OR
(simplify by 3. cross out 15 and get 5--->)15/16 x 5/6(<---simplify by 3. cross out 6and get 2) =
and thats what u get
5/16 x 5/2 = 25/32

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Answer:

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Step-by-step explanation:

First of all, let us have a look at the formula of factorial of a number 'n':

$n! = n \times (n-1) \times (n-2) \times ...... \times 1$

i.e. multiply n with (n-1) then by (n-2) upto 1.

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So, $9!$ can be written as: $9 \times 8 \times 7 \times ...... \times 1$

Similarly $3!$ can be written as: $3 \times 2 \times 1$

Re-writing $9 !$ :

$9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !$

Now, the expression to be evaluated:

$\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480$