Answer:
11/84
Step-by-step explanation:
Simplify 7/8 +2/3 to 37/24
4/7 × 37/24 -3/4
Use this rule: a/b x c/d = ac/bd
4 x 37 - 3
7 x 24 - 4
Simplify 4 ×37 to 148
148/7 x24 - 3/4
Simplify 7 ×24 to 168
148/168 - 3/4
Simplify 148/ 168 to 37/42
37/42 - 3/4
Simplify.
anddd the answer is
11/84
The fraction in simplest form is 11/84.
The given question can be simplified by first changing the denominator of all the fractions and then arithmetically operating on them. Then we can reduce the resultant fraction to find the simplified form.
4/7(7/8+2/3)−3/4 is given.
It can simplified as follows:
4/7(7/8 + 2/3) − 3/4 = 4/7(21/24 + 16/24) - 3/4
= 4/7(37/24) - 3/4
= (4/7 * 37/24) - 3/4
Now, we have to multiply the numbers in the brackets:
= 37/42 - 3/4
Now, subtract the numbers:
= 74/84 - 63/84
= 11/84.
This is the simplified form of the given problem.
Therefore, The fraction in simplest form is 11/84.
Learn more about the simplest form of fractions here: https://brainly.com/question/946233
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