Answer: 2
Explanation:
In order to sum two rational numbers, we should find their lowest common denominator. In this case, the two fractions are
[tex]\frac{3}{4}[/tex]
[tex]\frac{18}{19}[/tex]
so, their lowest common denominator is [tex]4\cdot 19=76[/tex]. So, the sum of the two numbers becomes
[tex]\frac{3}{4}+\frac{18}{19}=\frac{3 \cdot 19+18\cdot 4}{76}=\frac{57+72}{76}=\frac{129}{76}=1.697..[/tex]
So, this number is closer to 2.
Answer:
1.69 it is closest to 2.
Step-by-step explanation:
Given : [tex]\frac{3}{4}[/tex] and [tex]\frac{18}{19}[/tex]
To find : Sum
Solution We have given that [tex]\frac{3}{4}[/tex] and [tex]\frac{18}{19}[/tex]
[tex]\frac{3}{4}[/tex] + [tex]\frac{18}{19}[/tex]
Least common multiple of 4 and 19 is 76
So, [tex]\frac{3*19}{4 *19}[/tex] + [tex]\frac{18 *4}{19*4}[/tex]
[tex]\frac{57}{76}[/tex] + [tex]\frac{72}{76}[/tex]
Now , the denominator is equal then combine the fraction
[tex]\frac{57 + 72}{76}[/tex]
[tex]\frac{129}{76}[/tex]
Sum = 1.69
Therefore, 1.69 it is closest to 2.