Fraction and Decimal Word Problems

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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What is a decimal?

Back

A decimal is a way of expressing a number that is not whole, using a point to separate the whole number part from the fractional part. For example, 0.75 represents 75 hundredths.

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, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

What is the process to convert a fraction to a decimal?

Back

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

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 the first fraction by the reciprocal of the second fraction. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is a mixed number?

Back

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

Front

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 and add the numerator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the difference between two fractions?

Back

To find the difference between two fractions, subtract the second fraction from the first. Ensure they have a common denominator before subtracting.