What is 5^3× 5 7/2 ?

The solution to 5^3× 5 7/2 is 1062 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

5^3× 5 7/2

Solution

5^{3} \cdot 5 \frac{7}{2}

Solution

1062 \frac{1}{2}

Decimal

1062.5

Solution steps

5^{3} \cdot 5 \frac{7}{2}

Convert mixed numbers to improper fractions:

5 \frac{7}{2} = \frac{17}{2}

5 \frac{7}{2}

Convert mixed numbers to improper fraction:

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

5 \frac{7}{2} = \frac{5 \cdot 2 + 7}{2}

= \frac{17}{2}

= 5^{3} \cdot \frac{17}{2}

Follow the PEMDAS order of operations

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= 125 \cdot \frac{17}{2}

Multiply and divide (left to right)

125 \cdot \frac{17}{2} : \frac{2125}{2}

125 \cdot \frac{17}{2}

Convert element to fraction:

125 = \frac{125}{1}

= \frac{125}{1} \cdot \frac{17}{2}

Apply the fraction rule:

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

= \frac{125 \cdot 17}{1 \cdot 2}

Multiply the numbers:

125 \cdot 17 = 2125

= \frac{2125}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2125}{2}

= \frac{2125}{2}

Convert improper fractions to mixed numbers:

\frac{2125}{2} = 1062 \frac{1}{2}

\frac{2125}{2} = 1062

Remainder

1

\frac{2125}{2}

Write the problem in long division format

2 \overline{∣ 2125}

Divide

2

2

to get

1

Divide

2

2

to get

1

1 2 \overline{∣ 2125}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 2125} \underline{2}

Subtract

2

from

2

1 2 \overline{∣ 2125} \underline{2} 0

Bring down the next number of the dividend

1 2 \overline{∣ 2125} \underline{2} 01

1 2 \overline{∣ 2125} \underline{2} 01

Divide

1

2

to get

0

Divide

1

2

to get

0

10 2 \overline{∣ 2125} \underline{2} 01

Multiply the quotient digit

(0)

by the divisor

2

10 2 \overline{∣ 2125} \underline{2} 01 \underline{0}

Subtract

0

from

1

10 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 1

Bring down the next number of the dividend

10 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12

10 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12

Divide

12

2

to get

6

Divide

12

2

to get

6

106 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12

Multiply the quotient digit

(6)

by the divisor

2

106 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12}

Subtract

12

from

12

106 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 0

Bring down the next number of the dividend

106 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05

106 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05

Divide

5

2

to get

2

Divide

5

2

to get

2

1062 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05

Multiply the quotient digit

(2)

by the divisor

2

1062 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05 \underline{4}

Subtract

4

from

5

1062 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05 \underline{4} 1

1062 2 \overline{∣ 2125} \underline{2} 01 \underline{0} 12 \underline{12} 05 \underline{4} 1

The solution for Long Division of

\frac{2125}{2}

1062

with remainder of

1

1062 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2125}{2} = 1062 \frac{1}{2}

= 1062 \frac{1}{2}

= 1062 \frac{1}{2}

Popular Examples

(2*4)^3

2(1)^2-3(1)+5

36-{14+[-57-(-33-49+30)]}

+(+7)+(+6)-(-12)

289\div 17+244-79× 2

Frequently Asked Questions (FAQ)

What is 5^3× 5 7/2 ?
The solution to 5^3× 5 7/2 is 1062 1/2

5^3× 5 7/2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5^3× 5 7/2 ?

Popular topics