Multiplying and Dividing Fractions - 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 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 fractions?

Back

Dividing fractions means multiplying by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

How do you find a fraction of a whole number?

Back

To find a fraction of a whole number, multiply the whole number by the numerator and then divide by the denominator. For example, to find 1/4 of 12, calculate (1*12)/4 = 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 3/4 is 4/3.

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, 4/8 simplifies to 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

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.

Front

What is a word problem in math?

Back

A word problem is a mathematical question presented in a narrative form, requiring interpretation and problem-solving skills.

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, and apply multiplication or division as needed.