Question

Evaluate. 3/4 - 1/2 × 7/8 Write your answer in simplest form.

Answer 1

we have the expression

3/4 - 1/2 × 7/8

so

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

First Multiplication

so

`(1)/(2)\cdot(7)/(8)=(7)/(16)`

substitute

`(3)/(4)-(7)/(16)`

Remember that

3/4 is equivalent to 12/16 (multiply by 4 both numerator and denominator)

substitute

`(12)/(16)-(7)/(16)=(5)/(16)`

therefore

the answer is 5/16