Question

the decimal expansion of 21 upon 16×15 will​

Answer 1

Answer:

0.0875

Step-by-step explanation:

21/ 16 x 15

7/ 80

0.0875

Answer 2

Given : 21 upon 16×15

$\dfrac{21}{16 \times 15}$

To Find : Decimal Expansion type

Solution:

$\dfrac{21}{16 \times 15}$

21 = 3 * 7

16 = 2 * 2 * 2 * 2

15 = 3 * 5

$=\dfrac{3 \times 7}{2 \times 2 \times 2\times 2\times 3 \times 5}$

Cancel 3 from numerator and denominator

$=\dfrac{3 }{2 \times 2 \times 2\times 2\times 5}$

$=\dfrac{3 }{2^4 \times 5^1}$

As denominator is of the form 2ᵃ*5ᵇ   where a and b are whole numbers ( non negative integers)

so Decimal expansion will be Terminating

$=\dfrac{3 \times 5^3 }{2^4 \times 5^1 \times 5^3}$

= 375/10000

= 0.0375

Decimal expansion will be Terminating

Learn More:

Decimal expansion of a rational number Fill in the blanks hair ...

brainly.in/question/10914508

1. The decima expansion of27/15000 terminate afterhow many ...

brainly.in/question/18225164