Fraction Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/4 and 1/3, the common denominator is 12: (1/4 = 3/12) + (1/3 = 4/12) = 7/12.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have the same denominator. If not, find a common denominator, convert the fractions, and then subtract the numerators. For example, 3/4 - 1/4 = 2/4 = 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is the method for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 means 2 whole parts and 1/2 of another part.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator. For example, 7/4 = 1 3/4.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers. For example, the LCM of 4 and 6 is 12.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 8/12, divide both by 4 to get 2/3.