question 8 of 8\nwhat is the value of $-\frac{3}{4}-1\frac{1}{2}$?\n$1\frac{1}{4}$\n$2\frac{1}{4}$\n$-1\frac{…

question 8 of 8\nwhat is the value of $-\frac{3}{4}-1\frac{1}{2}$?\n$1\frac{1}{4}$\n$2\frac{1}{4}$\n$-1\frac{1}{4}$\n$-2\frac{1}{4}$

question 8 of 8\nwhat is the value of $-\frac{3}{4}-1\frac{1}{2}$?\n$1\frac{1}{4}$\n$2\frac{1}{4}$\n$-1\frac{1}{4}$\n$-2\frac{1}{4}$

Answer

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Find a common denominator

The common denominator of 4 and 2 is 4. So $\frac{3}{2}=\frac{3\times2}{2\times2}=\frac{6}{4}$

Step3: Perform the subtraction

$-\frac{3}{4}-\frac{6}{4}=-\frac{3 + 6}{4}=-\frac{9}{4}$

Step4: Convert back to mixed - number

$-\frac{9}{4}=- 2\frac{1}{4}$

Answer:

-2\frac{1}{4} (corresponding to the last option)