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Add 1/2 and 1/5

Enter fraction(s) below:



                 

We want to add the following 2 fractions:

1
2
+
  
1
5

Denominator 1 ≠ Denominator 2.
We need matching denominators

Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator

We add those 2 results, and get our numerator.
Our denominator is the product of the denominators of both fractions.

Fraction 1 + Fraction 2  =  Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1
  Denominator 1 x Denominator 2

Fraction 1 + Fraction 2  =  1 x 5 + 1 x 2
  2 x 5

Fraction 1 + Fraction 2  =  5 + 2
  10

Fraction 1 + Fraction 2  =  7
  10

Our fraction is already reduced.
This means our fraction has a Greatest Common Factor (GCF) = 1.
Therefore, we have our answer:
Answer = 7/10
Answer  =  7
  10








What is the Answer?

7/10

How does the Fractions and Mixed Numbers Calculator work?

Free Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
This calculator has 2 inputs.

What 8 formulas are used for the Fractions and Mixed Numbers Calculator?

  1. a/c + b/c = (a + b)/c
  2. a/c - b/c = (a - b)/c
  3. a/c * b/c = ab/c * c
  4. a/b/c/d = ad/bc
  5. Reciprocal of a/b = b/a

For more math formulas, check out our Formula Dossier

What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?

addition
math operation involving the sum of elements
denominator
The bottom portion of a fraction. For a/b, b is the denominator
division
separate a number into parts
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
mixed number
a number consisting of an integer and a proper fraction.
multiplication
math operation involving the product of elements
numerator
the number above the line in a common fraction
reciprocal
a number which when multiplied by x yields the multiplicative identity, 1
simplify
reducing the expression/fraction/problem in a simpler form.
subtraction
math operation involving the difference of elements

Example calculations for the Fractions and Mixed Numbers Calculator

  1. 1/5+6/7
  2. 3/4-1/2
  3. 8/9*5/6
  4. 2/3/5/7
  5. 1&5/8
  6. 4 and 3/7
  7. 1/2 and 5/9
  8. 2/9 of 3
  9. reciprocal of 9/4
  10. 195/6/4
  11. Simplify 15/20
  12. 1/2?3/4
  13. between 3/4 and 7/12

Fractions and Mixed Numbers Calculator Video


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