Fraction Operations

Front

What is the result of dividing a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, 5 ÷ ⅕ = 5 × 5/1 = 25.

Front

What is the process to 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.

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first convert them to improper fractions, then perform the subtraction, and finally convert back to a mixed number if necessary.

Front

What is the product of two fractions?

Back

To find the product of two fractions, multiply the numerators together and the denominators together. For example, (2/3) × (3/2) = 6/6 = 1.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is a reciprocal?

Back

The reciprocal of a number is 1 divided by that number. For a fraction, it is obtained by swapping the numerator and denominator.

Front

What is the least common multiple (LCM) and how is it used in fraction operations?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD) and how is it used in fraction operations?

Back

The greatest common divisor (GCD) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder. It is used to simplify fractions.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).