What is 5^3-4^3+3/4 ?

The solution to 5^3-4^3+3/4 is 61 3/4

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Popular >

5^3-4^3+3/4

Solution

5^{3} - 4^{3} + \frac{3}{4}

Solution

61 \frac{3}{4}

Solution steps

5^{3} - 4^{3} + \frac{3}{4}

Follow the PEMDAS order of operations

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= 125 - 4^{3} + \frac{3}{4}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 125 - 64 + \frac{3}{4}

Add and subtract (left to right)

125 - 64 + \frac{3}{4} : \frac{247}{4}

125 - 64 + \frac{3}{4}

125 - 64 = 61

= 61 + \frac{3}{4}

61 + \frac{3}{4} = \frac{247}{4}

61 + \frac{3}{4}

Convert element to fraction:

61 = \frac{61 \cdot 4}{4}

= \frac{61 \cdot 4}{4} + \frac{3}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{61 \cdot 4 + 3}{4}

61 \cdot 4 + 3 = 247

61 \cdot 4 + 3

Multiply the numbers:

61 \cdot 4 = 244

= 244 + 3

Add the numbers:

244 + 3 = 247

= 247

= \frac{247}{4}

= \frac{247}{4}

= \frac{247}{4}

Convert improper fractions to mixed numbers:

\frac{247}{4} = 61 \frac{3}{4}

\frac{247}{4} = 61

Remainder

3

\frac{247}{4}

Write the problem in long division format

4 \overline{∣ 247}

Divide

24

4

to get

6

Divide

24

4

to get

6

6 4 \overline{∣ 247}

Multiply the quotient digit

(6)

by the divisor

4

6 4 \overline{∣ 247} \underline{24}

Subtract

24

from

24

6 4 \overline{∣ 247} \underline{24} 0

Bring down the next number of the dividend

6 4 \overline{∣ 247} \underline{24} 07

6 4 \overline{∣ 247} \underline{24} 07

Divide

7

4

to get

1

Divide

7

4

to get

1

61 4 \overline{∣ 247} \underline{24} 07

Multiply the quotient digit

(1)

by the divisor

4

61 4 \overline{∣ 247} \underline{24} 07 \underline{4}

Subtract

4

from

7

61 4 \overline{∣ 247} \underline{24} 07 \underline{4} 3

61 4 \overline{∣ 247} \underline{24} 07 \underline{4} 3

The solution for Long Division of

\frac{247}{4}

61

with remainder of

3

61 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{247}{4} = 61 \frac{3}{4}

= 61 \frac{3}{4}

= 61 \frac{3}{4}

Popular Examples

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1 \div 3 \times 27

820000\div 10^3

820000 \div 1 0^{3}

1+2*0

1 + 2 \cdot 0

Frequently Asked Questions (FAQ)

What is 5^3-4^3+3/4 ?
The solution to 5^3-4^3+3/4 is 61 3/4