siroticuvj

2021-11-16

In the following exercises, find the least common denominator (LCD) for each set of fractions.

$\frac{21}{35}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\frac{39}{56}$

Linda Tincher

Beginner2021-11-17Added 14 answers

Calculation:

We will factor each of the denominators 35 and 56 into its primes.

Prime factors of these numbers are shown below:

$35=5\cdot 7$

$56=2\cdot 2\cdot 2\cdot 7$

Now we will take common numbers along with the remaining numbers

The common number is 7.

Therefore$LCD=2\cdot 2\cdot 2\cdot 5\cdot 7$

$=280$

We will factor each of the denominators 35 and 56 into its primes.

Prime factors of these numbers are shown below:

Now we will take common numbers along with the remaining numbers

The common number is 7.

Therefore