Question

name a pair of fractions that use the least common denominator and are equivalent to 9/10 + 5/6

Answer 1

The smallest common denominator is 30 in so 
9/10=27/30 and 5/6=25/30 are your answers ; ]

Answer 2

The pair of fractions needed are   $\dfrac{27}{30}$   and   $\dfrac{25}{30}$

Given sum of fraction is:

$\dfrac{9}{10} + \dfrac{5}{6}$

To find: pair of fraction using least common denominator and summing equal to given sum of fraction.

Calculations:

Why do we need to find least common denominator?

It is because summing(or subtracting) fractions with common denominators is very easy as compared to those with unlike denominators.

When denominators are same, the sum or subtraction operation can directly work on the numerator values and their result will be putted on top of the denominator.

For example:

$\dfrac{3}{5} + \dfrac{2}{5} = \dfrac{3+ 2}{5} = \dfrac{5}{5} = 1$

The least common denominator of 10 and 6 is 30 since:

6 , 12, 18, 24, 30

10, 20, 30

The least number that is common in both 6's and 10's multiple's list is 30.

Rewriting both the fractions using least common denominator:

$\dfrac{9}{10} = \dfrac{3 \times 9}{3 \times 10} = \dfrac{27}{30}$

and

$\dfrac{5}{6} = \dfrac{5 \times 5}{5 \times 6} = \dfrac{25}{30}$

Since both the new fractions are of same value as of old pair, thus their sum would be same, as shown here:

$\dfrac{9}{10} + \dfrac{5}{6} = \dfrac{27}{30} + \dfrac{25}{30} = \dfrac{52}{30}$

Thus, the pair of fractions needed are   $\dfrac{27}{30}$   and   $\dfrac{25}{30}$.

Learn more about fraction addition here:

https://brainly.com/question/17544795