Math Challenge Grade 5 - 3.1-3.3B

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are divided by their greatest common divisor (GCD), resulting in the smallest possible whole numbers.

Front

How do you simplify the fraction 12/16?

Back

To simplify 12/16, divide both the numerator (12) and the denominator (16) by their GCD, which is 4. This results in 3/4.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions to equivalent fractions with that denominator, and then add the numerators.

Front

What is the sum of 2/3 and 1/9?

Back

The sum of 2/3 and 1/9 is 7/9. First, convert 2/3 to 6/9, then add 6/9 + 1/9 = 7/9.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the common denominator.

Front

What is 9/18 - 3/9 in simplest form?

Back

9/18 - 3/9 simplifies to 1/6. First, convert 9/18 to 1/2, then subtract 1/2 - 1/3 = 1/6.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 and 5/7.

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 over the original denominator is the fraction.

Front

What is the improper fraction for the mixed number 2 and 5/7?

Back

The improper fraction for the mixed number 2 and 5/7 is 19/7. Multiply the whole number (2) by the denominator (7) and add the numerator (5) to get 19.

Front

What does it mean to put a fraction in simplest form?

Back

Putting a fraction in simplest form means reducing it so that the numerator and denominator have no common factors other than 1.