Question

Justiy:9/15 is a terminating decimal

Answer 1

if we divide 9/15 then we get complete number as0.6 so it is terminating decimal
Please mark brainlist if u think

Answer 2

9/15 is a terminating decimal

Given :

The fraction 9/15

To find :

To justify 9/15 is a terminating decimal

Concept :

$\displaystyle\sf{Fraction = \frac{Numerator}{Denominator} }$

A fraction is said to be terminating if prime factorisation of the denominator contains only prime factors 2 and 5

If the denominator is of the form

$\sf{Denominator = {2}^{m} \times {5}^{n} }$

Then the fraction terminates after N decimal places

Where N = max { m , n }

Solution :

Step 1 of 3 :

Write down the given fraction

The given fraction is

$\displaystyle \sf{ = \frac{9}{15} }$

Step 2 of 3 :

Simplify the given fraction

$\displaystyle \sf{ \frac{9}{15} }$

$\displaystyle \sf{ = \frac{3}{5} }$

Step 3 of 3 :

Justify 9/15 is a terminating decimal

Denominator = 5

Since the prime factorisation of the denominator contains only prime factors as 5

So the given rational number is terminating

Since the exponent of 5 = 1

Hence the given rational number terminates after 1 decimal places

Hence 9/15 is a terminating decimal

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