Question

question 6 of 8
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what is the value of (-1\frac{2}{5}+\frac{3}{10})?

Explanation:

Step1: Convert mixed number to improper fraction

\(-1\frac{2}{5}=-\frac{5\times1 + 2}{5}=-\frac{7}{5}\)

Step2: Find a common denominator and add the fractions

The common denominator of 5 and 10 is 10. So, \(-\frac{7}{5}=-\frac{7\times2}{5\times2}=-\frac{14}{10}\)
Now, add \(-\frac{14}{10}\) and \(\frac{3}{10}\): \(-\frac{14}{10}+\frac{3}{10}=\frac{-14 + 3}{10}=\frac{-11}{10}\)

Step3: Convert the improper fraction back to a mixed number (optional)

\(\frac{-11}{10}=-1\frac{1}{10}\)

Answer:

\(-1\frac{1}{10}\) (or \(-\frac{11}{10}\))