Q:

# What are basic operations with fractions?

A:

Basic operations with fractions involve addition, subtraction, multiplication and division. Addition and subtraction of fractions require a common denominator before making the calculations. When multiplying fractions, the numerators and denominators are multiplied separately to get the answer and when dividing fractions, the reciprocal of the divisor fraction is used, and the fractions are then multiplied.

## Keep Learning

Credit: Jose Luis Gutierrez E+ Getty Images

Addition and subtraction of fractions require a common denominator. A denominator is the number in the fraction below the line. If there is a common denominator, the numerators, the numbers above the line, are simply added or subtracted, as in this example, 1/5 + 2/5 = 3/5. If the denominator is not the same, the least common denominator of the two numbers needs to be used. The least common denominator is the smallest multiple of both denominators. In the problem 1/ 3 - 1/6 = x, the least common denominator is 6. To solve the equation, the numerator and the denominator of the first fraction are multiplied by 2. The equation then can be solved as follows: 2/6 - 1/6 = 1/6.

Multiplication is the simplest basic fraction operation to perform. The numerators and the denominators are multiplied separately: 1/3 x 5/6 = 5/18. For division, it is necessary to use the reciprocal of the divisor fraction. This simply means that the fraction is flipped. Then, the factions are multiplied, as in this example: 2/3 / 3/5 = 2/3 x 5/3 = 10/9.

Sources:

## Related Questions

• A: A polynomial function is any function that contains more than one monomial, with non-negative exponents, and only contains addition, subtraction, multiplic... Full Answer >
Filed Under:
• A: The purpose of the ALU is to perform mathematical operations such as addition, subtraction, multiplication and division. Additionally, the ALU processes ba... Full Answer >
Filed Under:
• A: "PEMDAS" is an acronym for the order in which operations are performed in a mathematical expression: parentheses, exponents, multiplication, division, addi... Full Answer >
Filed Under:
• A: Some fourth-grade math learning goals include mastering the operations of addition, subtraction, multiplication and division using whole numbers and fracti... Full Answer >
Filed Under:
PEOPLE SEARCH FOR