Expert answers to "How do you evaluate the following expression using..."

Jaylyn Villarreal

Answered question

2022-04-17

How do you evaluate the following expression using decimals?

4.136 - 8.2612 + \frac{77}{64} + \frac{205}{128}

awalkbyfaithbzu6

Beginner2022-04-18Added 21 answers

Step 1
Here

\frac{77}{64}

and

\frac{205}{128}

have only 2 as ' 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

\frac{77}{64} = 1.2031125

and

\frac{205}{128} = 1.6015625

Hence

4.136 - 8.2612 + 1.203125 + 1.6015625 = - 1.3205125

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