16 ruth needs 5 1/4 quarts of oil to change the oil in her car. she has 2 1/2, quarts in one bottle and 1…

16 ruth needs 5 1/4 quarts of oil to change the oil in her car. she has 2 1/2, quarts in one bottle and 1 1/4, quarts in another. how many more quarts of oil does ruth need to change the oil in her car? drag & drop the answer 3 3/4 qt. 2 3/4 qt. 2 1/2 qt. 1 1/2 qt. note: use ctrl+d to drag the option via keyboard
Answer
Explanation:
Step1: Calculate total oil she has
First, convert the mixed - numbers to improper fractions. $2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ and $1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}$. Then find a common denominator (4) to add them. $\frac{5}{2}=\frac{5\times2}{2\times2}=\frac{10}{4}$. So the total oil she has is $\frac{10}{4}+\frac{5}{4}=\frac{10 + 5}{4}=\frac{15}{4}$ quarts.
Step2: Calculate the remaining oil needed
She needs $5\frac{1}{4}=\frac{5\times4+1}{4}=\frac{21}{4}$ quarts. Subtract the total oil she has from the oil she needs. $\frac{21}{4}-\frac{15}{4}=\frac{21 - 15}{4}=\frac{6}{4}=1\frac{2}{4}=1\frac{1}{2}$ quarts.
Answer:
$1\frac{1}{2}$ qt.