Fraction and Decimal Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What is a decimal?

Back

A decimal is a way of representing fractions using a point (.) to separate the whole number from the fractional part, such as 0.5.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

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 the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. For example, the reciprocal of 3/4 is 4/3.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (1/2) * (3/4) = (1*3)/(2*4) = 3/8.

Front

How do you divide 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 the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Area = length × width.

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 area of a swimming pool that is 21.4 feet long and 12.75 feet wide?

Back

Area = length × width = 21.4 × 12.75 = 272.85 square feet.