The solution to 14-3/8 (6) is 11 3/4

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Popular Pre Algebra >

14-3/8 (6)

Solution

14 - \frac{3}{8} (6)

Solution

11 \frac{3}{4}

Decimal

11.75

Solution steps

14 - \frac{3}{8} (6)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{8} (6) : \frac{9}{4}

\frac{3}{8} (6)

Apply rule:

(a) = a

(6) = 6

= \frac{3}{8} \cdot 6

\frac{3}{8} \cdot 6 = \frac{9}{4}

\frac{3}{8} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{3}{8} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 6}{8 \cdot 1}

Cancel

\frac{3 \cdot 6}{8 \cdot 1} : \frac{9}{4}

\frac{3 \cdot 6}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{3 \cdot 6}{8}

Factor the number:

6 = 2 \cdot 3

= \frac{3 \cdot 2 \cdot 3}{8}

Factor the number:

8 = 2 \cdot 4

= \frac{3 \cdot 2 \cdot 3}{2 \cdot 4}

Cancel the common factor:

2

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9}{4}

= \frac{9}{4}

= \frac{9}{4}

= 14 - \frac{9}{4}

Add and subtract (left to right)

14 - \frac{9}{4} : \frac{47}{4}

14 - \frac{9}{4}

14 - \frac{9}{4} = \frac{47}{4}

14 - \frac{9}{4}

Convert element to fraction:

14 = \frac{14 \cdot 4}{4}

= \frac{14 \cdot 4}{4} - \frac{9}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{14 \cdot 4 - 9}{4}

14 \cdot 4 - 9 = 47

14 \cdot 4 - 9

Multiply the numbers:

14 \cdot 4 = 56

= 56 - 9

Subtract the numbers:

56 - 9 = 47

= 47

= \frac{47}{4}

= \frac{47}{4}

= \frac{47}{4}

Convert improper fractions to mixed numbers:

\frac{47}{4} = 11 \frac{3}{4}

\frac{47}{4} = 11

Remainder

3

\frac{47}{4}

Write the problem in long division format

4 \overline{∣ 47}

Divide

4

4

to get

1

Divide

4

4

to get

1

1 4 \overline{∣ 47}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 47} \underline{4}

Subtract

4

from

4

1 4 \overline{∣ 47} \underline{4} 0

Bring down the next number of the dividend

1 4 \overline{∣ 47} \underline{4} 07

1 4 \overline{∣ 47} \underline{4} 07

Divide

7

4

to get

1

Divide

7

4

to get

1

11 4 \overline{∣ 47} \underline{4} 07

Multiply the quotient digit

(1)

by the divisor

4

11 4 \overline{∣ 47} \underline{4} 07 \underline{4}

Subtract

4

from

7

11 4 \overline{∣ 47} \underline{4} 07 \underline{4} 3

11 4 \overline{∣ 47} \underline{4} 07 \underline{4} 3

The solution for Long Division of

\frac{47}{4}

11

with remainder of

3

11 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{47}{4} = 11 \frac{3}{4}

= 11 \frac{3}{4}

= 11 \frac{3}{4}

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15(0)^2

Frequently Asked Questions (FAQ)

What is 14-3/8 (6) ?
The solution to 14-3/8 (6) is 11 3/4

14-3/8 (6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 14-3/8 (6) ?

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