What is 3(13\div 12)-2 ?

The solution to 3(13\div 12)-2 is 1 1/4

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3(13\div 12)-2

Solution

3 (13 \div 12) - 2

Solution

1 \frac{1}{4}

Solution steps

3 (13 \div 12) - 2

Follow the PEMDAS order of operations

Calculate within parentheses

(13 \div 12) : \frac{13}{12}

13 \div 12

13 \div 12 = \frac{13}{12}

= \frac{13}{12}

= 3 \cdot \frac{13}{12} - 2

Multiply and divide (left to right)

3 \cdot \frac{13}{12} : \frac{13}{4}

3 \cdot \frac{13}{12}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{13}{12}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 13}{1 \cdot 12}

\frac{3 \cdot 13}{1 \cdot 12} = \frac{13}{4}

\frac{3 \cdot 13}{1 \cdot 12}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{3 \cdot 13}{12}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 13}{3 \cdot 4}

Cancel the common factor:

3

= \frac{13}{4}

= \frac{13}{4}

= \frac{13}{4} - 2

Add and subtract (left to right)

\frac{13}{4} - 2 : \frac{5}{4}

\frac{13}{4} - 2

\frac{13}{4} - 2 = \frac{5}{4}

\frac{13}{4} - 2

Convert element to fraction:

2 = \frac{2 \cdot 4}{4}

= - \frac{2 \cdot 4}{4} + \frac{13}{4}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 2 \cdot 4 + 13}{4}

- 2 \cdot 4 + 13 = 5

- 2 \cdot 4 + 13

Multiply the numbers:

2 \cdot 4 = 8

= - 8 + 13

Add/Subtract the numbers:

- 8 + 13 = 5

= 5

= \frac{5}{4}

= \frac{5}{4}

= \frac{5}{4}

Convert improper fractions to mixed numbers:

\frac{5}{4} = 1 \frac{1}{4}

\frac{5}{4} = 1

Remainder

1

\frac{5}{4}

Write the problem in long division format

4 \overline{∣ 5}

Divide

5

4

to get

1

Divide

5

4

to get

1

1 4 \overline{∣ 5}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 5} \underline{4}

Subtract

4

from

5

1 4 \overline{∣ 5} \underline{4} 1

1 4 \overline{∣ 5} \underline{4} 1

The solution for Long Division of

\frac{5}{4}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5}{4} = 1 \frac{1}{4}

= 1 \frac{1}{4}

= 1 \frac{1}{4}

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8(2)^3-8(2)

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[-3+(3-12)+2]-[5+(-2+1)]

[- 3 + (3 - 12) + 2] - [5 + (- 2 + 1)]

Frequently Asked Questions (FAQ)

What is 3(13\div 12)-2 ?
The solution to 3(13\div 12)-2 is 1 1/4