- 7/7,421 + 9 = ? Adding ordinary (common) fractions, online calculator, addition operation explained step by step. The answer, written in four ways. As a positive improper fraction (the numerator >= the denominator). As a mixed number. As a decimal number. As a percentage.
- 7/7,421 + 9 = ?
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.
* Why do we try to reduce (simplify) the fractions?
By reducing the values of the numerators and the denominators of the fractions the calculations are easier to make.
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.
* * *
The fraction: - 7/7,421 is already reduced to the lowest terms. The numerator and denominator have no common prime factors. Their prime factorization: 7 is a prime number 7,421 = 41 × 181 GCF (7; 41 × 181) = 1
As a positive improper fraction: (the numerator >= the denominator)
An improper fraction: the value of the numerator is larger than or equal to the value of the denominator.
9 - 7/7,421 =
(9 × 7,421)/7,421 - 7/7,421 =
(9 × 7,421 - 7)/7,421 =
66,782/7,421
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:
66,782 ÷ 7,421 = 8 and the remainder = 7,414 =>
66,782 = 8 × 7,421 + 7,414 =>
66,782/7,421 =
(8 × 7,421 + 7,414)/7,421 =
(8 × 7,421)/7,421 + 7,414/7,421 =
8 + 7,414/7,421 =
8 7,414/7,421
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
8 + 7,414/7,421 =
8 + 7,414 ÷ 7,421 ≈
8.999056730899 ≈
9
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.
As a positive improper fraction: (the numerator >= the denominator) - 7/7,421 + 9 = 66,782/7,421
As a mixed number (also called a mixed fraction): - 7/7,421 + 9 = 8 7,414/7,421
As a decimal number: - 7/7,421 + 9 ≈ 9
As a percentage: - 7/7,421 + 9 ≈ 899.91%
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.
Fractions additions: the latest fractions added by the users
Calculate GCF, the greatest common factor (also called GCD, greatest common divisor, HCF, greatest common factor) of each fraction's numerator and denominator.
GCF is the product of all the unique common prime factors of the numerator and the denominator, taken by the lowest exponents.
Divide the numerator and the denominator of each fraction by their greatest common factor, GCF - after this operation the fraction is reduced to its lowest terms equivalent.
The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to the same common denominator.
Divide the least common multiple, LCM, calculated above, by each fraction's denominator, in order to calculate each fraction's expanding number.
4. Expand each fraction:
Multiply each fraction's both numerator and denominator by expanding number.
At this point, fractions are built up to the same denominator.
5. Add the fractions:
In order to add all the fractions simply add all the fractions' numerators.
The end fraction will have as a denominator the least common multiple, LCM, calculated above.
6. Reduce the end fraction to the lowest terms, if needed.