90/63 × 75/90 = ? Multiply the Common (Ordinary) Fractions, Online Calculator. Multiplication Operation Explained Step by Step
The numerators and the denominators of the fractions are multiplied separately
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 90/63 × 75/90 = 75/63
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
- A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.
- * By reducing the values of the numerators and denominators of fractions, subsequent calculations become easier to perform.
To reduce a fraction to the lowest terms equivalent divide its numerator and denominator by their greatest common factor, GCF.
- To calculate the GCF, factor the numerator and denominator of the fraction into prime factors.
- Then multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponents (the lowest powers).
The fraction: 75/63
The prime factorizations of the numerator and denominator:
75 = 3 × 52
63 = 32 × 7
GCF (75; 63) = 3
75/63 =
(75 ÷ 3)/(63 ÷ 3) =
25/21
Yet another method to reduce a fraction:
* To reduce a fraction without calculating the GCF: factor its numerator and denominator, then all the common prime factors are easily identified and crossed out.
75/63 =
(3 × 52)/(32 × 7) =
((3 × 52) ÷ 3)/((32 × 7) ÷ 3) =
(3 ÷ 3 × 52)/(32 ÷ 3 × 7) =
(1 × 52)/(3(2 - 1) × 7) =
(1 × 52)/(31 × 7) =
(1 × 52)/(3 × 7) =
25/21
Internal link » Reduce (simplify) common (ordinary) fractions to the lowest terms (to their simplest form equivalent), online calculator
Rewrite the fraction
As a mixed number (also called a mixed fraction):
- A mixed number: a whole number and a proper fraction, both having the same sign.
- A proper fraction: the value of the numerator is smaller than the value of the denominator.
- Divide the numerator by the denominator and write down the quotient and the remainder of the division, as shown below:
25 ÷ 21 = 1 and the remainder = 4 ⇒
25 = 1 × 21 + 4 ⇒
25/21 =
(1 × 21 + 4)/21 =
(1 × 21)/21 + 4/21 =
1 + 4/21 =
1 4/21
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1 + 4/21 =
1 + 4 ÷ 21 ≈
1.190476190476 ≈
1.19
As a percentage:
- A percentage value p% is equal to the fraction: p/100, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.
- To do that, multiply the number by the fraction 100/100.
- The value of the fraction 100/100 = 1, so by multiplying the number by this fraction the result is not changing, only the form.
1.190476190476 =
1.190476190476 × 100/100 =
(1.190476190476 × 100)/100 =
119.047619047619/100 =
119.047619047619% ≈
119.05%
External link » Convert and write integer and decimal numbers, fractions and ratios as percentages, online calculator
The final answer:
written in four ways
As a positive improper fraction:
(the numerator >= the denominator)
90/63 × 75/90 = 25/21
As a mixed number (also called a mixed fraction):
90/63 × 75/90 = 1 4/21
As a decimal number:
90/63 × 75/90 ≈ 1.19
As a percentage:
90/63 × 75/90 ≈ 119.05%
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.