18/46 + 16/45 = ? Adding ordinary (common) fractions, online calculator, addition operation explained step by step. The answer, written in three ways. As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage.

18/46 + 16/45 = ?

Perform the operation of calculating the fractions

All the fractions have equal denominators (the same denominator):

This is the simplest and happiest case when we add or subtract fractions.


We work only with their numerators and keep the common denominator.


18/46 + 16/45 =


(18 + 16)/45 =


34/45

Fully reduce (simplify) the fraction to its lowest terms equivalent:

To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.


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.


34/45 is already reduced to the lowest terms.


The numerator and denominator have no common prime factors.


Their prime factorization:

34 = 2 × 17

45 = 32 × 5


GCF (2 × 17; 32 × 5) = 1



Rewrite the fraction

As a decimal number:

Simply divide the numerator by the denominator, without a remainder, as shown below:


34/45 =


34 ÷ 45 ≈


0.755555555556 ≈


0.76

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.


0.755555555556 =


0.755555555556 × 100/100 =


(0.755555555556 × 100)/100 =


75.555555555556/100


75.555555555556% ≈


75.56%



The final answer:
:: written in three ways ::

As a positive proper fraction:
(the numerator < the denominator)
18/46 + 16/45 = 34/45

As a decimal number:
18/46 + 16/45 ≈ 0.76

As a percentage:
18/46 + 16/45 ≈ 75.56%

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.

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All the operations with added fractions

Add common ordinary fractions, online calculator:

How to: Adding ordinary (simple, common) fractions. Steps.

There are two cases regarding the denominators when we add ordinary fractions:

A. How to add ordinary fractions that have like denominators?

An example of adding ordinary fractions that have like denominators, with explanations

B. To add fractions with different denominators (unlike denominators), build up the fractions to the same denominator. How is it done?


Read the rest of this article, here > How to add ordinary (common) fractions

More on ordinary (common) fractions / theory:

(1) What is a fraction? Fractions types. How do they compare?


(2) Changing the form of fractions, by expanding or reducing (simplifying)


(3) How to reduce fractions (simplifying). The greatest common factor, GCF


(4) How to compare two fractions with unlike (different) numerators and denominators


(5) How to sort out fractions in ascending order


(6) Adding common (ordinary) fractions


(7) Subtracting common (ordinary) fractions


(8) Multiplying common (ordinary) fractions


(9) Fractions as rational numbers