We can use the PEMDAS mnemonic to remember the order of operations:
P - Parentheses
E - Exponents
MD - Multiplication/Division (left to right)
AS - Addition/Subtraction (left to right)
First evaluate the expression in the Parentheses by adding the two fractions:
= 80 ÷ 8 + 2 * (2/4 + 1/4)
= 80 ÷ 8 + 2 * 3/4
There are no Exponents.
Now perform Multiplication/Division going left to right. Notice they have the same precedence so you start going from left to right and in this case we have a division first.
= (80 ÷ 8) + 2 * 3/4
= 10 + 2 * 3/4
= 10 + 6/4
We can reduce the fraction:
= 10 + 3/2
Now there are a couple ways to proceed from here:
METHOD 1 - Add these as fractions, so convert 10 to 20/2:
= 20/2 + 3/2
= 23/2
= 11½
METHOD 2 - Convert the improper fraction into a mixed number, then add:
Answers & Comments
11 1/2.
80 ÷ 8 + 2*(1/2 + 1/4)
= 10 + 2*(3/4)
= 23/2
Original expression:
80 ÷ 8 + 2 * (1/2 + 1/4)
We can use the PEMDAS mnemonic to remember the order of operations:
P - Parentheses
E - Exponents
MD - Multiplication/Division (left to right)
AS - Addition/Subtraction (left to right)
First evaluate the expression in the Parentheses by adding the two fractions:
= 80 ÷ 8 + 2 * (2/4 + 1/4)
= 80 ÷ 8 + 2 * 3/4
There are no Exponents.
Now perform Multiplication/Division going left to right. Notice they have the same precedence so you start going from left to right and in this case we have a division first.
= (80 ÷ 8) + 2 * 3/4
= 10 + 2 * 3/4
= 10 + 6/4
We can reduce the fraction:
= 10 + 3/2
Now there are a couple ways to proceed from here:
METHOD 1 - Add these as fractions, so convert 10 to 20/2:
= 20/2 + 3/2
= 23/2
= 11½
METHOD 2 - Convert the improper fraction into a mixed number, then add:
= 10 + 1½
= 11½
Answer:
11½
80÷8+2(3/4) =
10+3/2 = 23/2
80 ÷ 8 + 2*(1/2 + 1/4)
= 10 + 2*(3/4)
= 11 1/2
(80 ÷ 8) + 2 * (1/2 + 1/4)
= (10) + 2 * (3/4)
= 10 + 3/2
= 23/2
= 11.5
80÷8+2*(1/2+1/4)
parans first, then division then multiplication
80÷8 + 2*((2/4)+(1/4))
10 + 2(3/4)
10 + (3/2)
(20/2) + (3/2)
23/2