Understanding fractions is crucial in mathematics, encompassing numerators, denominators, and types such as proper, improper, and mixed numbers. This overview covers converting between these forms, finding equivalent fractions, simplification, and the processes for adding, subtracting, multiplying, and dividing fractions. Mastering these concepts is key to mathematical proficiency.
Show More
Fractions are composed of two integers, the numerator and denominator, separated by a horizontal or oblique line
Proper Fractions
Proper fractions have numerators smaller than their denominators, indicating a quantity less than one
Improper Fractions
Improper fractions have numerators larger than or equal to their denominators, indicating a quantity that is one or more
Mixed Numbers
Mixed numbers consist of a whole number paired with a proper fraction
To convert an improper fraction to a mixed number, divide the numerator by the denominator and use the quotient as the whole number part and the remainder over the denominator as the fractional part
Equivalent fractions represent the same value or proportion, even though they may appear different
To find equivalent fractions, multiply or divide the numerator and denominator by the same non-zero integer
Simplifying fractions involves dividing the numerator and denominator by their greatest common divisor (GCD)
To add or subtract fractions, find a common denominator, convert each fraction to an equivalent fraction with the common denominator, and then add or subtract the numerators while maintaining the common denominator
To multiply fractions, multiply the numerators to find the new numerator and the denominators to find the new denominator
To divide fractions, take the reciprocal of the divisor fraction and multiply it by the dividend fraction, simplifying the resulting fraction to its simplest form
00
Fraction Definition
A fraction expresses a part of a whole or a ratio between two numbers.
01
Fraction Numerator Meaning
The numerator is the top number indicating parts considered.
02
Fraction Denominator Meaning
The denominator is the bottom number indicating total parts in the whole.
