Question

Simplify// answer quick

Answer 1

Answer:

3/2

Step-by-step explanation:

5/4 + 4(1/4)^2

5/4 + 4 x 1/16

5/4 + 1/4

3/2

Answer 2

Answer:

$\huge\boxed{\dfrac{3}{2}=1\dfrac{1}{2}}$

Step-by-step explanation:

PEMDAS

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

$\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{1}{2}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{1\cdot2}{2\cdot2}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{2}{4}\right)^2\\\\=\dfrac{5}{4}+4\cdot\left(\dfrac{3-2}{4}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{1}{4}\right)^2=\dfrac{5}{4}+4\cdot\dfrac{1}{16}=\dfrac{5}{4}+\dfrac{4}{16}\\\\=\dfrac{5}{4}+\dfrac{1}{4}=\dfrac{5+1}{4}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}=1\dfrac{1}{2}$