6.3D

Front

What is the definition of a fraction?

Back

A fraction is a way to represent a part of a whole, expressed as a ratio of two integers, where the top number (numerator) indicates how many parts are taken, and the bottom number (denominator) indicates how many equal parts the whole is divided into.

Front

What does the term 'numerator' mean in a fraction?

Back

The numerator is the top number in a fraction that represents how many parts of the whole are being considered.

Front

What does the term 'denominator' mean in a fraction?

Back

The denominator is the bottom number in a fraction that indicates the total number of equal parts the whole is divided into.

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

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number, where 2 is the whole number and 1/2 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 becomes the whole number, and the remainder becomes the numerator of the fraction. For example, 7/4 = 1 3/4.

Front

What is the process for multiplying fractions?

Back

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

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (2/3) ÷ (3/4) = (2/3) * (4/3) = (2*4)/(3*3) = 8/9.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, meaning it represents a value less than one. For example, 3/4 is a proper fraction.