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Fraction CalculatorCalculator handles simple operations for adding, subtracting, dividing or multiplying fractions and returns an answer in a reduced fraction and a mixed number.
How to Calculate Fractions? This calculator supports the following
operations− Addition− Subtraction− Multiplication− Dividing
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.
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
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.
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.
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
Plug in the values of the first fraction into the formula:
(6 ÷ 2) × 3 = 9Re-writing the first fraction, we get 9/6.Plug in the values of the second fraction into
the formula:(6 ÷ 3) × 2 = 4Re-writing the second fraction, we get 4/6.
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
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
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 Calculatorhttps://www.easycalculation.com/fraction-calculator.php