Math 5.3K

Front

What is a fraction?

Back

A fraction represents a part of a whole. It 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 the difference between a proper fraction and an improper fraction?

Back

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

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 subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number, where 2 is the whole number and 1/3 is the fraction.

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 becomes the numerator of the fraction. For example, 9/4 = 2 1/4.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers. For example, the LCM of 4 and 5 is 20.

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 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, which simplifies to 1/2.

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, which simplifies to 2/3.