Question

1. add or subtract the mixed numbers. 5\frac{2}{5}+\left(-4\frac{3}{10}\

ight)
9\frac{7}{10}
1\frac{1}{5}
-1\frac{3}{10}
1\frac{1}{10}

Explanation:

Step1: Convert mixed numbers to improper fractions

$5\frac{2}{5}=\frac{5\times5 + 2}{5}=\frac{27}{5}$ and $-4\frac{3}{10}=-\frac{4\times10+3}{10}=-\frac{43}{10}$

Step2: Find a common - denominator

The common denominator of 5 and 10 is 10. So, $\frac{27}{5}=\frac{27\times2}{5\times2}=\frac{54}{10}$

Step3: Add the fractions

$\frac{54}{10}+(-\frac{43}{10})=\frac{54 - 43}{10}=\frac{11}{10}$

Step4: Convert the improper fraction back to a mixed number

$\frac{11}{10}=1\frac{1}{10}$

Answer:

$1\frac{1}{10}$