divide fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

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 3/4 is 4/3.

Front

How do you find the volume of a rectangular prism?

Back

The volume of a rectangular prism is found by multiplying its length, width, and height: Volume = length × width × height.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width: Area = length × width.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD and why is it important in fraction operations?

Back

The GCD (Greatest Common Divisor) is the largest number that divides both the numerator and denominator without leaving a remainder. It is important for simplifying fractions.

Front

What is the result of dividing 3/4 by 1/2?

Back

The result is 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4, which simplifies to 3/2.

Front

If a rectangular frame has an area of 5 square inches and a width of 3/2 inches, how do you find the length?

Back

To find the length, use the area formula: Area = length × width. Rearranging gives length = Area / width. So, length = 5 / (3/2) = 10/3.

Front

What is the volume of a rectangular prism with dimensions 3/2 inches, 4 inches, and 11/5 inches?

Back

Volume = length × width × height = (3/2) × 4 × (11/5) = 132/10 cubic inches.

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 new numerator over the original denominator.