Fractions and Comparisons in 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 (part) and 'b' is the denominator (whole).

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, 1/10 + 2/10 = (1+2)/10 = 3/10.

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, 5/10 - 2/10 = (5-2)/10 = 3/10.

Front

What does it mean to decompose a fraction?

Back

Decomposing a fraction means breaking it down into smaller fractions that add up to the original fraction. For example, 3/10 can be decomposed into 1/10 + 1/10 + 1/10.

Front

How do you compare two fractions?

Back

To compare two fractions, you can find a common denominator or convert them to decimals. For example, to compare 1/2 and 3/4, convert them to 4/8 and 6/8 respectively.

Front

What is the sum of 3/10 and 4/10?

Back

3/10 + 4/10 = (3+4)/10 = 7/10.

Front

What is the difference between 9/10 and 3/10?

Back

9/10 - 3/10 = (9-3)/10 = 6/10.

Front

How do you double a fraction?

Back

To double a fraction, multiply both the numerator and the denominator by 2. For example, doubling 1/4 gives 2/4, which simplifies to 1/2.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different. For example, 1/2 is equivalent to 2/4.

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 1/3 = (2*3 + 1)/3 = 7/3.