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