What is 23-8+6^2-3%4 ?

The solution to 23-8+6^2-3%4 is 50 22/25

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Popular >

23-8+6^2-3%4

Solution

23 - 8 + 6^{2} - 3%4

Solution

50 \frac{22}{25}

Solution steps

23 - 8 + 6^{2} - 3% \cdot 4

Follow the PEMDAS order of operations

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 23 - 8 + 36 - 3% \cdot 4

Multiply and divide (left to right)

3% \cdot 4 : \frac{3}{25}

3% \cdot 4

Convert

3%

into a fraction:

\frac{3}{100}

3%

Rewrite

3%

\frac{3}{100}

= \frac{3}{100}

= \frac{3}{100} \cdot 4

\frac{3}{100} \cdot 4 = \frac{3}{25}

\frac{3}{100} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{3}{100} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 4}{100 \cdot 1}

\frac{3 \cdot 4}{100 \cdot 1} = \frac{3}{25}

\frac{3 \cdot 4}{100 \cdot 1}

Multiply the numbers:

100 \cdot 1 = 100

= \frac{3 \cdot 4}{100}

Factor the number:

100 = 4 \cdot 25

= \frac{3 \cdot 4}{4 \cdot 25}

Cancel the common factor:

4

= \frac{3}{25}

= \frac{3}{25}

= \frac{3}{25}

= 23 - 8 + 36 - \frac{3}{25}

Add and subtract (left to right)

23 - 8 + 36 - \frac{3}{25} : \frac{1272}{25}

23 - 8 + 36 - \frac{3}{25}

23 - 8 = 15

= 15 + 36 - \frac{3}{25}

15 + 36 = 51

= 51 - \frac{3}{25}

51 - \frac{3}{25} = \frac{1272}{25}

51 - \frac{3}{25}

Convert element to fraction:

51 = \frac{51 \cdot 25}{25}

= \frac{51 \cdot 25}{25} - \frac{3}{25}

Since the denominators are equal, combine the fractions:

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

= \frac{51 \cdot 25 - 3}{25}

51 \cdot 25 - 3 = 1272

51 \cdot 25 - 3

Multiply the numbers:

51 \cdot 25 = 1275

= 1275 - 3

Subtract the numbers:

1275 - 3 = 1272

= 1272

= \frac{1272}{25}

= \frac{1272}{25}

= \frac{1272}{25}

Convert improper fractions to mixed numbers:

\frac{1272}{25} = 50 \frac{22}{25}

\frac{1272}{25} = 50

Remainder

22

\frac{1272}{25}

Write the problem in long division format

25 \overline{∣ 1272}

Divide

127

25

to get

5

Divide

127

25

to get

5

5 25 \overline{∣ 1272}

Multiply the quotient digit

(5)

by the divisor

25

5 25 \overline{∣ 1272} \underline{125}

Subtract

125

from

127

5 25 \overline{∣ 1272} \underline{125} 2

Bring down the next number of the dividend

5 25 \overline{∣ 1272} \underline{125} 22

5 25 \overline{∣ 1272} \underline{125} 22

Divide

22

25

to get

0

Divide

22

25

to get

0

50 25 \overline{∣ 1272} \underline{125} 22

Multiply the quotient digit

(0)

by the divisor

25

50 25 \overline{∣ 1272} \underline{125} 22 \underline{0}

Subtract

0

from

22

50 25 \overline{∣ 1272} \underline{125} 22 \underline{0} 22

50 25 \overline{∣ 1272} \underline{125} 22 \underline{0} 22

The solution for Long Division of

\frac{1272}{25}

50

with remainder of

22

50 Remainder 22

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1272}{25} = 50 \frac{22}{25}

= 50 \frac{22}{25}

= 50 \frac{22}{25}

Popular Examples

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- 290 - 110 + 42 + 148

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9^{2} - 20 \div 4

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4^{2} \div 2^{2}

1/4 (-2)-2

\frac{1}{4} (- 2) - 2

2^4-4^2

2^{4} - 4^{2}

Frequently Asked Questions (FAQ)

What is 23-8+6^2-3%4 ?
The solution to 23-8+6^2-3%4 is 50 22/25