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Arte-miy333 [17]
3 years ago
5

What is the answer to this math question 2 1/12-5 5/6

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

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Step-by-step explanation:

Data

AB = x                     DF = 18

BC = 5                     FE = 15

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Process

1.- Find y

Use proportions to find it

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Substitution

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Solve for y

                  y = 15(3/5)

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2.- Find x

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Substitution

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