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

Sagot :

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

[tex]\frac{1}{2}\cdot\frac{7}{8}=\frac{7}{16}[/tex]

substitute

[tex]\frac{3}{4}-\frac{7}{16}[/tex]

Remember that

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

substitute

[tex]\frac{12}{16}-\frac{7}{16}=\frac{5}{16}[/tex]

therefore

the answer is 5/16

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