The solution to 2 7/8*2/3 is 1 11/12

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Multiply 2 7/8*2/3

Solution

2 \frac{7}{8} \cdot 2/3

Solution

1 \frac{11}{12}

Solution steps

2 \frac{7}{8} \cdot 2/3

Convert mixed numbers to improper fractions:

2 \frac{7}{8} = \frac{23}{8}

2 \frac{7}{8}

Convert mixed numbers to improper fraction:

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

2 \frac{7}{8} = \frac{2 \cdot 8 + 7}{8}

= \frac{23}{8}

= \frac{23}{8} \cdot 2/3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{23}{8} \cdot 2/3 : \frac{23}{12}

\frac{23}{8} \cdot 2/3

\frac{23}{8} \cdot 2 = \frac{23}{4}

\frac{23}{8} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{23}{8} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{23 \cdot 2}{8 \cdot 1}

\frac{23 \cdot 2}{8 \cdot 1} = \frac{23}{4}

\frac{23 \cdot 2}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{23 \cdot 2}{8}

Factor the number:

8 = 2 \cdot 4

= \frac{23 \cdot 2}{2 \cdot 4}

Cancel the common factor:

2

= \frac{23}{4}

= \frac{23}{4}

= \frac{23}{4} /3

\frac{23}{4} /3 = \frac{23}{12}

\frac{23}{4} /3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{23}{4} \div \frac{3}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{23}{4} \cdot \frac{1}{3}

Multiply fractions:

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

= \frac{23 \cdot 1}{4 \cdot 3}

Multiply the numbers:

23 \cdot 1 = 23

= \frac{23}{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{23}{12}

= \frac{23}{12}

= \frac{23}{12}

Convert improper fractions to mixed numbers:

\frac{23}{12} = 1 \frac{11}{12}

\frac{23}{12} = 1

Remainder

11

\frac{23}{12}

Write the problem in long division format

12 \overline{∣ 23}

Divide

23

12

to get

1

Divide

23

12

to get

1

1 12 \overline{∣ 23}

Multiply the quotient digit

(1)

by the divisor

12

1 12 \overline{∣ 23} \underline{12}

Subtract

12

from

23

1 12 \overline{∣ 23} \underline{12} 11

1 12 \overline{∣ 23} \underline{12} 11

The solution for Long Division of

\frac{23}{12}

1

with remainder of

11

1 Remainder 11

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{23}{12} = 1 \frac{11}{12}

= 1 \frac{11}{12}

= 1 \frac{11}{12}

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Frequently Asked Questions (FAQ)

What is 2 7/8*2/3 ?
The solution to 2 7/8*2/3 is 1 11/12

Multiply 2 7/8*2/3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2 7/8*2/3 ?