Multiplying and Dividing Fractions with 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

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What does it mean to divide a fraction by a whole number?

Back

Dividing a fraction by a whole number means to find out how many times the whole number fits into the fraction. This can be done by multiplying the fraction by the reciprocal of the whole number.

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 a/b is b/a.

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

Front

What is a word problem in math?

Back

A word problem is a mathematical question presented in the form of a story or real-life scenario that requires interpretation and problem-solving.

Front

How do you solve a word problem involving fractions?

Back

To solve a word problem involving fractions, read the problem carefully, identify the fractions involved, determine what operation to use (addition, subtraction, multiplication, or division), and then perform the calculation.

Front

What is the product of 1/2 and 3/4?

Back

The product of 1/2 and 3/4 is (1*3)/(2*4) = 3/8.

Front

If you have 3/5 of a pizza and eat 2/5 of it, how much pizza is left?

Back

If you eat 2/5 of the pizza, you have 3/5 - 2/5 = 1/5 of the pizza left.

Front

How do you divide 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).