# 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:

### 23/5 * 13/7 = 26/7 = 3 5/7 ≅ 3.7142857

Spelled result in words is twenty-six sevenths (or three and five sevenths).

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

1. Conversion a mixed number 2 3/5 to a improper fraction: 2 3/5 = 2 3/5 = 2 · 5 + 3/5 = 10 + 3/5 = 13/5

To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5
b) Add the answer from the previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 5.

Two and three fifths is thirteen fifths.
2. Conversion a mixed number 1 3/7 to a improper fraction: 1 3/7 = 1 3/7 = 1 · 7 + 3/7 = 7 + 3/7 = 10/7

To find a new numerator:
a) Multiply the whole number 1 by the denominator 7. Whole number 1 equally 1 * 7/7 = 7/7
b) Add the answer from the previous step 7 to the numerator 3. New numerator is 7 + 3 = 10
c) Write a previous answer (new numerator 10) over the denominator 7.

One and three sevenths is ten sevenths.
3. Multiple: 13/5 * 10/7 = 13 · 10/5 · 7 = 130/35 = 26 · 5/7 · 5 = 26/7
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(130, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 26/7.
In other words - thirteen fifths multiplied by ten sevenths is twenty-six sevenths.

#### 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
+plus signaddition 1/2 + 1/3
-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)