6th Grade Math Practice 1

Front

What is the process of dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide ⅚ by 4, convert 4 to a fraction (4/1) and multiply: ⅚ × 1/4 = ⅚ × 1/4 = 5/24.

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, add the numerator, and place that result over the original denominator. For example, 1 2/3 becomes (1×3 + 2)/3 = 5/3.

Front

What is the product of two mixed numbers?

Back

To find the product of two mixed numbers, convert each mixed number to an improper fraction, multiply the fractions, and simplify if necessary.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/24, divide both by 8 to get 1/3.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of ⅔ is 3/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, ⅔ × ⅖ = (2×2)/(3×5) = 4/15.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number. For example, ⅚ ÷ 4 = ⅚ × 1/4 = 5/24.

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.

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 is the numerator of the proper fraction.

Front

What is the importance of simplifying fractions in math?

Back

Simplifying fractions makes calculations easier and helps to clearly understand the relationship between numbers.