What is 3205\div 155-1000\div 155 ?

The solution to 3205\div 155-1000\div 155 is 14 7/31

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Popular >

3205\div 155-1000\div 155

Solution

3205 \div 155 - 1000 \div 155

Solution

14 \frac{7}{31}

Solution steps

3205 \div 155 - 1000 \div 155

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3205 \div 155 : \frac{3205}{155}

3205 \div 155

3205 \div 155 = \frac{3205}{155}

= \frac{3205}{155}

= \frac{3205}{155} - 1000 \div 155

Multiply and divide (left to right)

1000 \div 155 : \frac{1000}{155}

1000 \div 155

1000 \div 155 = \frac{1000}{155}

= \frac{1000}{155}

= \frac{3205}{155} - \frac{1000}{155}

Add and subtract (left to right)

\frac{3205}{155} - \frac{1000}{155} : \frac{441}{31}

\frac{3205}{155} - \frac{1000}{155}

\frac{3205}{155} - \frac{1000}{155} = \frac{441}{31}

\frac{3205}{155} - \frac{1000}{155}

Apply rule

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

= \frac{3205 - 1000}{155}

Subtract the numbers:

3205 - 1000 = 2205

= \frac{2205}{155}

Cancel the common factor:

5

= \frac{441}{31}

= \frac{441}{31}

= \frac{441}{31}

Convert improper fractions to mixed numbers:

\frac{441}{31} = 14 \frac{7}{31}

\frac{441}{31} = 14

Remainder

7

\frac{441}{31}

Write the problem in long division format

31 \overline{∣ 441}

Divide

44

31

to get

1

Divide

44

31

to get

1

1 31 \overline{∣ 441}

Multiply the quotient digit

(1)

by the divisor

31

1 31 \overline{∣ 441} \underline{31}

Subtract

31

from

44

1 31 \overline{∣ 441} \underline{31} 13

Bring down the next number of the dividend

1 31 \overline{∣ 441} \underline{31} 131

1 31 \overline{∣ 441} \underline{31} 131

Divide

131

31

to get

4

Divide

131

31

to get

4

14 31 \overline{∣ 441} \underline{31} 131

Multiply the quotient digit

(4)

by the divisor

31

14 31 \overline{∣ 441} \underline{31} 131 \underline{124}

Subtract

124

from

131

14 31 \overline{∣ 441} \underline{31} 131 \underline{124} 7

14 31 \overline{∣ 441} \underline{31} 131 \underline{124} 7

The solution for Long Division of

\frac{441}{31}

14

with remainder of

7

14 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{441}{31} = 14 \frac{7}{31}

= 14 \frac{7}{31}

= 14 \frac{7}{31}

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Frequently Asked Questions (FAQ)

What is 3205\div 155-1000\div 155 ?
The solution to 3205\div 155-1000\div 155 is 14 7/31