Answer: [tex]\frac{4}{5}[/tex]
Step-by-step explanation: The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD([tex]\frac{10}{100}[/tex], [tex]\frac{7}{10}[/tex]) = 100
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
([tex]\frac{10}{100}[/tex]×[tex]\frac{1}{1}[/tex])+([tex]\frac{7}{10}[/tex]×[tex]\frac{10}{10}[/tex])=?
Complete the multiplication and the equation becomes
[tex]\frac{10}{100}[/tex]+[tex]\frac{7}{10}[/tex]=?
The two fractions now have like denominators so you can add the numerators.
Then:
[tex]\frac{10+70}{100}[/tex]=[tex]\frac{80}{100}[/tex]
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 80 and 100 using
GCF(80,100) = 20
[tex]\frac{80÷20}{100÷20}[/tex]=[tex]\frac{4}{5}[/tex]
Therefore:
[tex]\frac{10}{100}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{4}{5}[/tex]
