f. $-2\\frac{3}{8}-5\\frac{1}{2}-(-7\\frac{3}{4})$
f. $-2\\frac{3}{8}-5\\frac{1}{2}-(-7\\frac{3}{4})$
Answer
Explanation:
Step1: Convert mixed numbers to improper fractions
(-2\frac{3}{8}=-\frac{19}{8}), (5\frac{1}{2}=\frac{11}{2}), (7\frac{3}{4}=\frac{31}{4}) The expression becomes (-\frac{19}{8}-\frac{11}{2}-(-\frac{31}{4}))
Step2: Simplify the subtraction of negative number
(-\frac{19}{8}-\frac{11}{2}+\frac{31}{4})
Step3: Find a common denominator
The common denominator of (8), (2) and (4) is (8) (-\frac{19}{8}-\frac{44}{8}+\frac{62}{8})
Step4: Perform the arithmetic operation
(\frac{-19 - 44+62}{8}=\frac{-63 + 62}{8}=-\frac{1}{8})
Answer:
(-\frac{1}{8})