# Calculator reducing or simplifying the fraction (simplification)

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

### 4/22 = 2/11 ≅ 0.1818182

Spelled result in words is two elevenths.

#### Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

The calculator follows well-known rules for order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

• Equivalent fractions Are these two fractions equivalent -4/9 and 11/15?
• Equation with fractions Solve equation: ? It is equation with fractions.
• Ten fractions Write ten fractions between 1/3 and 2/3
• Fractions Sort fractions ? by its size. Result write as three serial numbers 1,2,3.
• Fractions 3 Calculate 1/9 of 27:
• Fractions 4 How many 2/3s are in 6?
• Compare Compare fractions ?. Which fraction of the lower?
• Eqn Solve equation with fractions: 2x/3-50=40+x/4
• Product of two fractions Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction.
• Simple equation 5 Solve equation with fractions: X × 3/8 = 1/2
• Equation with mixed fractions 2 3/5 of 1430+? = 1900. How to do this problem
• Eq-frac Solve the following equation with fractions: h + 1/3 =5/3 What is 4 1/2+2/7-213/14?