What is 3\div 2\times 125 ?

The solution to 3\div 2\times 125 is 187 1/2

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Popular >

3\div 2\times 125

Solution

3 \div 2 \times 125

Solution

187 \frac{1}{2}

Solution steps

3 \div 2 \times 125

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div 2 = \frac{3}{2}

= \frac{3}{2} \times 125

\frac{3}{2} \times 125 = \frac{375}{2}

\frac{3}{2} \cdot 125

Convert element to fraction:

125 = \frac{125}{1}

= \frac{3}{2} \cdot \frac{125}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 125}{2 \cdot 1}

Multiply the numbers:

3 \cdot 125 = 375

= \frac{375}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{375}{2}

= \frac{375}{2}

Convert improper fractions to mixed numbers:

\frac{375}{2} = 187 \frac{1}{2}

\frac{375}{2} = 187

Remainder

1

\frac{375}{2}

Write the problem in long division format

2 \overline{∣ 375}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 375}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 375} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 375} \underline{2} 1

Bring down the next number of the dividend

1 2 \overline{∣ 375} \underline{2} 17

1 2 \overline{∣ 375} \underline{2} 17

Divide

17

2

to get

8

Divide

17

2

to get

8

18 2 \overline{∣ 375} \underline{2} 17

Multiply the quotient digit

(8)

by the divisor

2

18 2 \overline{∣ 375} \underline{2} 17 \underline{16}

Subtract

16

from

17

18 2 \overline{∣ 375} \underline{2} 17 \underline{16} 1

Bring down the next number of the dividend

18 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15

18 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15

Divide

15

2

to get

7

Divide

15

2

to get

7

187 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15

Multiply the quotient digit

(7)

by the divisor

2

187 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15 \underline{14}

Subtract

14

from

15

187 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15 \underline{14} 1

187 2 \overline{∣ 375} \underline{2} 17 \underline{16} 15 \underline{14} 1

The solution for Long Division of

\frac{375}{2}

187

with remainder of

1

187 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{375}{2} = 187 \frac{1}{2}

= 187 \frac{1}{2}

= 187 \frac{1}{2}

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(-8)+16-(-3)+25-40

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Frequently Asked Questions (FAQ)

What is 3\div 2\times 125 ?
The solution to 3\div 2\times 125 is 187 1/2