Question

1. calculator you can use this key sequence to find $5\frac{1}{2}+4\frac{3}{4}$. the calculator display 10.25 can be written as $10\frac{1}{4}$. a. write a key sequence you can use to find $4\frac{1}{8}-1\frac{3}{4}$. b. use your key sequence to find $4\frac{1}{8}-1\frac{3}{4}$.

Explanation:

Step1: Convert mixed numbers to decimals

$4\frac{1}{8} = 4 + \frac{1}{8} = 4.125$, $1\frac{3}{4} = 1 + \frac{3}{4} = 1.75$

Step2: Write key sequence for subtraction

Translate the subtraction of the decimal values into calculator key presses: ( 4 + 1 ÷ 8 ) - ( 1 + 3 ÷ 4 ) =

Step3: Calculate the result

Substitute values: $4.125 - 1.75 = 2.375$, or as a fraction $\frac{19}{8} = 2\frac{3}{8}$

Answer:

a. ( 4 + 1 ÷ 8 ) - ( 1 + 3 ÷ 4 ) =
b. $2\frac{3}{8}$ (or 2.375)