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Answer:

29/50

Step-by-step explanation:

To solve this expression, we first have to make sure that the denominators are equal. If the denominators aren't equal, we can't add the fractions together. To make equivalent denominators, the easiest way is to find the LCM. Looking at these two fractions, we see that the LCM is 100. To get to 100 from 10 in the first fractions denominator we multiply by 10. Since we multiplied by 10 in the denominator, we must multiply by 10 in the numerator, leaving us with the fraction:

5/10 = 50/100

Since the denominators are now equal, we can add these two fractions:

50/100 + 8/100 = 58/100 = 29/50

Adding two fractions equal

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

Adding Fractions:

To add any two fractions , the denominators should be same.

Least common denominator:

LCD is  the smallest number of all the common multiples of the given denominators

We need to add [tex]\frac{5}{10}+ \frac{8}{100}[/tex]

To add two fractions, we need to make the denominators same

multiples of 10 are 10,20,30,40,50,60,70,80,90,100......

multiples of 100 are 100,200, 300, 400 .......

Common multiple is 100. so LCD is 100

[tex]\frac{5}{10}+ \frac{8}{100}\\\\\frac{5 \cdot 10}{10 \cdot 10}+ \frac{8}{100}\\\\\frac{50}{100}+ \frac{8}{100}\\ \frac{50+8}{100}\\\\\frac{58}{100}\\\\\frac{29}{50}[/tex]

Adding two fractions,

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

Learn more information about 'Fractions' here:

brainly.com/question/870112