Fractions and Decimals-All 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

What is a decimal?

Back

A decimal is a way of expressing fractions in a base 10 system, using a decimal point. For example, 0.5 is the decimal representation of 1/2.

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 process to subtract fractions?

Back

To subtract fractions, ensure they have the same denominator, then subtract the numerators and keep the denominator the same.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) x (3/4) = 6/12, which simplifies to 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) x (4/3) = 4/6, which simplifies to 2/3.

Front

What is a mixed number?

Back

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

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the least common multiple (LCM)?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. It is useful for simplifying fractions.