Multiplication of Fractions - Examples, Exercises and Solutions

To multiply fractions, we multiply numerator by numerator and denominator by denominator

1*4 = 4

4*5 = 20

4/20

Note that we can simplify this fraction by 4

4/20 = 1/5

When we have a multiplication of fractions, we multiply numerator by numerator and denominator by denominator:

4*1 = 4
4*2 8

We can reduce the result, so we get:

4:4 = 1
8:4 2

And thus we arrived at the result, one half.

Similarly, we can see that the first fraction (4/4) is actually 1, because when the numerator and denominator are equal it means the fraction equals 1,
and since we know that any number multiplied by 1 remains the same number, we can conclude that the solution remains one half.

According to the order of operations, we must solve the exercise from left to right since it contains only multiplication operations:

$\frac{3}{2}\times1=\frac{3}{2}$

$\frac{3}{2}\times\frac{1}{3}=$

Then, we will multiply the 3 by 3 to get:

$\frac{1}{2}\times1=\frac{1}{2}$

According to the order of operations, we will first solve the expression in parentheses.

Note that since the denominators are not common, we will look for a number that is both divisible by 2 and 3. That is 6.

We will multiply one-third by 2 and one-half by 3, now we will get the expression:

$\frac{1}{4}\times(\frac{2+3}{6})=$

Let's solve the numerator of the fraction:

$\frac{1}{4}\times\frac{5}{6}=$

We will combine the fractions into a multiplication expression:

$\frac{1\times5}{4\times6}=\frac{5}{24}$