Answer:
The number of parts on the four plots are 40.5
Step-by-step explanation:
The number of plots is 4 and each has an area of 12 acres, thus the total area is 36 acres.
Dividing them into a number, n, of parts gives;
where n is the number of parts.
= of an acre
Thus,
n = (36 × 9) acres ÷ 8 acres
= 324 ÷ 8
= 40.5
Thus it has been divided into 40.5 parts.
The pair of fractions needed are and
To find: pair of fraction using least common denominator and summing equal to given sum of fraction.
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:
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:
and
Since both the new fractions are of same value as of old pair, thus their sum would be same, as shown here:
Thus, the pair of fractions needed are and .
Learn more about fraction addition here:
Answer:
D. 123.76
Step-by-step explanation: