First, you must convert the decimals to have the same denominator.
Find the least common multiple of both fractions' denominators:
Multiples of 8: {8,16,24,32,40}
Multiples of 10: {10,20,30,40}
The least common multiple of 8 and 10 is 40.
Multiply the fractions by a number that will make their denominator 40:
[tex]- \frac{3}{8} \times \frac{5}{5} = - \frac{15}{40} [/tex]
[tex] \frac{5}{10} \times \frac{4}{4} = \frac{20}{40}[/tex]
Now you can add these fractions together:
[tex]-\frac{15}{40} + \frac{20}{40} = \frac{5}{40}[/tex]
Simplify this fraction:
[tex]\frac{5}{40} \div \frac{5}{5} = \frac{1}{8}[/tex]
The answer should be 1/8.
