Evaluate 89+152

Question

Evaluate  89+152

insonsipthinye · Accepted Answer

Step 1
Like fractions are fractions with the same denominator. Like fractions can be added by simply adding the numerators with the common denominator.
To add unlike fractions first they need to be converted to like fractions. To convert unlike fractions to like fractions need to find the least common denominator and convert the denominators to least common denominator.
Step 2
The given expression to evaluate is $\frac{8}{9} + \frac{15}{2}$ . Least common denominator is the least common multiple of the denominators. The denominators are 9, 2 so the least common denominator is 18. To convert the fractions to like fractions multiply and divide first fraction by 2 and multiply and divide second fraction by 9.
$\frac{8}{9} + \frac{15}{2} = \frac{8}{9} \cdot \frac{2}{2} + \frac{15}{2} \cdot \frac{9}{9}$
$= \frac{16}{18} + \frac{135}{18}$
$= \frac{16 + 135}{18}$
$= \frac{151}{18}$
Hence, the given expression evaluates to $\frac{151}{18}$ .

Evaluate \frac{8}{9}+\frac{15}{2}

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