What is 35-1/8-3/24 ?

The solution to 35-1/8-3/24 is 34 3/4

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35-1/8-3/24

Solution

35 - \frac{1}{8} - \frac{3}{24}

Solution

34 \frac{3}{4}

Solution steps

35 - \frac{1}{8} - \frac{3}{24}

\frac{3}{24} = \frac{1}{8}

Cancel the common factor:

3

\frac{1}{8}

= 35 - \frac{1}{8} - \frac{1}{8}

Follow the PEMDAS order of operations

Add and subtract (left to right)

35 - \frac{1}{8} - \frac{1}{8} : \frac{139}{4}

35 - \frac{1}{8} - \frac{1}{8}

35 - \frac{1}{8} = \frac{279}{8}

35 - \frac{1}{8}

Convert element to fraction:

35 = \frac{35 \cdot 8}{8}

= \frac{35 \cdot 8}{8} - \frac{1}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{35 \cdot 8 - 1}{8}

35 \cdot 8 - 1 = 279

35 \cdot 8 - 1

Multiply the numbers:

35 \cdot 8 = 280

= 280 - 1

Subtract the numbers:

280 - 1 = 279

= 279

= \frac{279}{8}

= \frac{279}{8} - \frac{1}{8}

\frac{279}{8} - \frac{1}{8} = \frac{139}{4}

\frac{279}{8} - \frac{1}{8}

Apply rule

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

= \frac{279 - 1}{8}

Subtract the numbers:

279 - 1 = 278

= \frac{278}{8}

Cancel the common factor:

2

= \frac{139}{4}

= \frac{139}{4}

= \frac{139}{4}

Convert improper fractions to mixed numbers:

\frac{139}{4} = 34 \frac{3}{4}

\frac{139}{4} = 34

Remainder

3

\frac{139}{4}

Write the problem in long division format

4 \overline{∣ 139}

Divide

13

4

to get

3

Divide

13

4

to get

3

3 4 \overline{∣ 139}

Multiply the quotient digit

(3)

by the divisor

4

3 4 \overline{∣ 139} \underline{12}

Subtract

12

from

13

3 4 \overline{∣ 139} \underline{12} 1

Bring down the next number of the dividend

3 4 \overline{∣ 139} \underline{12} 19

3 4 \overline{∣ 139} \underline{12} 19

Divide

19

4

to get

4

Divide

19

4

to get

4

34 4 \overline{∣ 139} \underline{12} 19

Multiply the quotient digit

(4)

by the divisor

4

34 4 \overline{∣ 139} \underline{12} 19 \underline{16}

Subtract

16

from

19

34 4 \overline{∣ 139} \underline{12} 19 \underline{16} 3

34 4 \overline{∣ 139} \underline{12} 19 \underline{16} 3

The solution for Long Division of

\frac{139}{4}

34

with remainder of

3

34 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{139}{4} = 34 \frac{3}{4}

= 34 \frac{3}{4}

= 34 \frac{3}{4}

Popular Examples

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19 \times 5 + 27 \div 3 - 3^{2}

(5^2-3^2)\div 4-(1+2^0+3^0)

(5^{2} - 3^{2}) \div 4 - (1 + 2^{0} + 3^{0})

(-4)(4-2)

(- 4) (4 - 2)

(50-2)\div 4-4^2

(50 - 2) \div 4 - 4^{2}

44576+55765-22345

44576 + 55765 - 22345

Frequently Asked Questions (FAQ)

What is 35-1/8-3/24 ?
The solution to 35-1/8-3/24 is 34 3/4