How do you evaluate the following expression using decimals?: 4.136 - 8.2612 + 77/64 + 205/128

1 Answer
Shwetank Mauria
Apr 27, 2016

4.136-8.2612+77/64+205/128=-1.3205125

Explanation:

Here 77/64 and 205/128 have only 2 as prime factors for denominators. In fact they are 2^6 and 2^7 and hence they can be converted into decimal form by multiplying numerator and denominator by 5^6=15625 and 5^7=78125.

Hence 77/64=1.203125 and 205/128=1.6015625.

Hence 4.136-8.2612+1.203125+1.6015625=-1.3205125

Related questions
See all questions in Using Decimals in Math
Impact of this question
2322 views around the world
You can reuse this answer
Creative Commons License