This document provides instructions for using a fraction calculator to perform addition of fractions. It describes converting fractions to a common denominator, adding the numerators, and then converting the resulting improper fraction back to a mixed number. The steps involve analyzing the operation, converting fractions to improper form, finding a least common denominator, writing the fractions with the common denominator, adding the numerators, and then dividing to express the sum as a mixed number.

1. Fraction CalculatorCalculator handles simple
operations for adding,
subtracting, dividing or
multiplying fractions and
returns an answer in a
reduced fraction and a
mixed number.

2. How to Calculate Fractions?

This calculator supports the following
operations
− Addition
− Subtraction
− Multiplication
− Dividing

3. Fraction calculator : Addition.
Step 1: Analyze the operation
This is an addition problem, so we need to find
two equivalent fractions that have the same
denominators. Then we can add the
numerators together.

4. Step 2: Convert to improper form
It's difficult to perform arithmetic on mixed
numbers, so we want to convert them to
improper fractions. Use this formula for the
conversion:
Whole × Denominator + Numerator
= New Numerator

5. The first fraction needs to be converted to
improper form.
Plug in the values of the first fraction into the
formula:
1 × 2 + 1 = 3
Re-writing the first fraction, we get 3/2.

6. Step 3: Find a common denominator
List the multiples of each denominator until a
common number is found.
Multiples of 2: 2, 4, 6
Multiples of 3: 3, 6
Now we know 6 is the least common
denominator of 3/2 and 2/3.

7. Step 4: Write each fraction with the common
denominator
We want the denominator of each fraction to
be 6. But we can't change the denominator
without changing the numerator too.
To find the new numerator of each fraction,
use this formula:
(Common Denominator ÷ Denominator) x
Numerator = New Numerator

8. Plug in the values of the first fraction into the
formula:
(6 ÷ 2) × 3 = 9
Re-writing the first fraction, we get 9/6.
Plug in the values of the second fraction into
the formula:
(6 ÷ 3) × 2 = 4
Re-writing the second fraction, we get 4/6.

9. Step 5: Add the numerators and write over
common denominator
Add the first numerator and the second
numerator together:
9 / 6 + 4 / 6 = 13 / 6

10. Step 6: Convert to mixed number
13/6 is improper because the numerator is
greater than or equal to the denominator.
We need to turn it into a mixed number. Divide
the denominator into the numerator:
____
6 |13 | 2
- 12
-------
01

11. The quotient, 2, is the whole part of the mixed
number. The remainder, 1, is the numerator of
the fraction. Putting it all together, we get:
2 1/6
Source:
Fraction Calculator
https://www.easycalculation.com/fraction-calculator.php