Question #fc4dc

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Question #fc4dc

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Answer 1 · 2017-05-06T09:03:00

A = $\frac{3}{4}$ $3/4$
Use order of operations:

Explanation:

= $\frac{1}{2} + \frac{1}{2} + \frac{1}{2} (\frac{1}{2}) - \frac{1}{2}$ $1/2 + 1/2 + 1/2(1/2)-1/2$
= $\frac{1}{2} + \frac{1}{2} + (\frac{1}{2} \cdot \frac{1}{2}) - \frac{1}{2}$ $1/2 + 1/2 + (1/2 * 1/2) - 1/2$
= $\frac{1}{2} + \frac{1}{2} + \frac{1}{4} - \frac{1}{2}$ $1/2 + 1/2 + 1/4 - 1/2$
= $1 + \frac{1}{4} - \frac{1}{2}$ $1 + 1/4 - 1/2$
= $\frac{5}{4} - \frac{1}{2}$ $5/4 - 1/2$
= $\frac{3}{4}$ $3/4$

Alternatively, you could have easily simplified the equation to make it look neater and thus, easier to work through:

= $1 + {(\frac{1}{2})}^{2} - \frac{1}{2}$ $1 + (1/2)^2 - 1/2$
= $1 + \frac{1}{4} - \frac{1}{2}$ $1 + 1/4 - 1/2$
= $\frac{5}{4} - \frac{1}{2}$ $5/4 - 1/2$
= $\frac{3}{4}$ $3/4$

Or... You could have converted it to decimals - even easier!

= $1 + {(0.5)}^{2} - 0.5$ $1 + (0.5)^2 - 0.5$
= $1 + 0.25 - 0.5$ $1 + 0.25 - 0.5$
= $1.25 - 0.5$ $1.25 - 0.5$
= $0.75$ $0.75$

All the best!

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Question #fc4dc

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