Question

subtract.
\\(\frac{1}{10} - -5\frac{1}{2} = \\)
submit

Explanation:

Step1: Rewrite subtraction of negative as addition

Subtracting a negative number is the same as adding its positive. So, $\frac{1}{10}-(-5\frac{1}{2})=\frac{1}{10} + 5\frac{1}{2}$.

Step2: Convert mixed number to improper fraction

Convert $5\frac{1}{2}$ to an improper fraction. $5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}$.

Step3: Find a common denominator

The common denominator of 10 and 2 is 10. Convert $\frac{11}{2}$ to tenths: $\frac{11}{2}=\frac{11\times5}{2\times5}=\frac{55}{10}$.

Step4: Add the fractions

Now add $\frac{1}{10}+\frac{55}{10}=\frac{1 + 55}{10}=\frac{56}{10}$.

Step5: Simplify the fraction

Simplify $\frac{56}{10}$ by dividing numerator and denominator by 2: $\frac{56\div2}{10\div2}=\frac{28}{5}$. Convert to mixed number: $\frac{28}{5}=5\frac{3}{5}$.

Answer:

$5\frac{3}{5}$ (or $\frac{28}{5}$)