Question #a69d2

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Question #a69d2

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Answer 1 · 2017-01-30T18:47:08

$\frac{247}{20} = 12 \frac{7}{20} = 12.35$ $247/20=12 7/20=12.35$

Explanation:

Which answer you choose depends on whether you want to use only decimals or only fractions.

If you use fractions, you must first restate the problem using only fractions.

$(- \frac{1}{4} + 3) + (- \frac{1}{5} + 5) - (- \frac{5}{2} - 2 \frac{3}{10})$ $(-1/4+3)+(-1/5+5)-(-5/2-2 3/10)$

We can restate this, writing the mixed fraction $2 \frac{3}{10}$ $2 3/10$ as the improper fraction $\frac{23}{10}$ $23/10$ .

$(- \frac{1}{4} + 3) + (- \frac{1}{5} + 5) - (- \frac{5}{2} - \frac{23}{10})$ $(-1/4+3)+(-1/5+5)-(-5/2-23/10)$

Inside each of the parentheses, add or subtract the fractions.

$(\frac{11}{4}) + (\frac{24}{5}) - (- \frac{48}{10})$ $(11/4)+(24/5)-(-48/10)$

Get rid of the negatives by applying the principle that a negative times a negative is a positive.

$(\frac{11}{4}) + (\frac{24}{5}) + (\frac{48}{10})$ $(11/4)+(24/5)+(48/10)$

Notice the greatest common denominator is $20$ $20$ because $10 \times 2 = 20$ $10times2=20$ , $5 \times 4 = 20$ $5times4=20$ , and $4 \times 5 = 20$ $4times5=20$ . This gives

$(\frac{11 \times 5}{4 \times 5}) + (\frac{24 \times 4}{5 \times 4}) + (\frac{48 \times 2}{10 \times 2})$ $((11times5)/(4times5))+((24times4)/(5times4))+((48times2)/(10times2))$

Or

$\frac{55}{20} + \frac{96}{20} + \frac{96}{20} = \frac{247}{20} = 12 \frac{7}{20} = \frac{12}{35}$ $55/20+96/20+96/20=247/20=12 7/20=12/35$

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Question #a69d2

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