# Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

## The result:

### 126/10 + 55/10 = 181/10 = 18 1/10 = 18.1

Spelled result in words is one hundred eighty-one tenths (or eighteen and one tenth).

### How do we solve fractions step by step?

1. Conversion a mixed number 12 6/10 to a improper fraction: 12 6/10 = 12 6/10 = 12 · 10 + 6/10 = 120 + 6/10 = 126/10

To find a new numerator:
a) Multiply the whole number 12 by the denominator 10. Whole number 12 equally 12 * 10/10 = 120/10
b) Add the answer from the previous step 120 to the numerator 6. New numerator is 120 + 6 = 126
c) Write a previous answer (new numerator 126) over the denominator 10.

Twelve and six tenths is one hundred twenty-six tenths.
2. Conversion a mixed number 5 5/10 to a improper fraction: 5 5/10 = 5 5/10 = 5 · 10 + 5/10 = 50 + 5/10 = 55/10

To find a new numerator:
a) Multiply the whole number 5 by the denominator 10. Whole number 5 equally 5 * 10/10 = 50/10
b) Add the answer from the previous step 50 to the numerator 5. New numerator is 50 + 5 = 55
c) Write a previous answer (new numerator 55) over the denominator 10.

Five and five tenths is fifty-five tenths.
3. Add: 126/10 + 55/10 = 126 + 55/10 = 181/10
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one hundred twenty-six tenths plus fifty-five tenths is one hundred eighty-one tenths.

#### Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

### Math Symbols

SymbolSymbol nameSymbol MeaningExample
-minus signsubtraction 1 1/2 - 2/3
*asteriskmultiplication 2/3 * 3/4
×times signmultiplication 2/3 × 5/6
:division signdivision 1/2 : 3
/division slashdivision 1/3 / 5
:coloncomplex fraction 1/2 : 1/3
^caretexponentiation / power 1/4^3
()parenthesescalculate expression inside first-3/5 - (-1/4)