# Fraction calculator

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.

# Calculator multiplying a fraction by a whole number

### 6 * 3/4 = 9/2 = 4 1/2 = 4.5

Spelled result in words is nine halfs (or four and one half).

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

1. Multiple: 6 * 3/4 = 6 · 3/1 · 4 = 18/4 = 9 · 2/2 · 2 = 9/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step, , cancel by a common factor of 2 gives 9/2.
In words - six multiplied by three quarters = nine halfs.

#### 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?
• 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.
• Equation with fractions Solve an equation: 1- (2x-5)/(6) =3- (x)/(4) It is an equation with fractions.
• Multiplying fractions What is 1/3 of 5?
• 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