The solution to 100/24 is 4 1/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

100/24

Solution

\frac{100}{24}

Solution

4 \frac{1}{6}

Decimal

4.16666 \dots

Solution steps

Reduce the fraction

\frac{100}{24} : \frac{25}{6}

\frac{100}{24}

Find a common factor of

100

and

24

in order to cancel it out

Greatest Common Divisor of

100, 24 : 4

100, 24

Greatest Common Divisor (GCD)

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

Prime factorization of

24 : 2 \cdot 2 \cdot 2 \cdot 3

24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 3

The prime factors common to

100, 24

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

100 = 4 \cdot 25, 24 = 4 \cdot 6

= \frac{4 \cdot 25}{4 \cdot 6}

Cancel the common factor:

4

= \frac{25}{6}

\frac{25}{6} = 4

Remainder

1

\frac{25}{6}

Write the problem in long division format

6 \overline{∣ 25}

Divide

25

6

to get

4

Divide

25

6

to get

4

4 6 \overline{∣ 25}

Multiply the quotient digit

(4)

by the divisor

6

4 6 \overline{∣ 25} \underline{24}

Subtract

24

from

25

4 6 \overline{∣ 25} \underline{24} 1

4 6 \overline{∣ 25} \underline{24} 1

The solution for Long Division of

\frac{25}{6}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{25}{6} = 4 \frac{1}{6}

= 4 \frac{1}{6}

Popular Examples

Frequently Asked Questions (FAQ)

What is 100/24 ?
The solution to 100/24 is 4 1/6

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator

100/24

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 100/24 ?

Popular topics