The addition of
is
. Option (b) is correct.
Further explanation:
Given:
The expression is ![\dfrac{3}{4} + 0.6](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%20%2B%200.6)
The options are as follows,
(a). ![1.15](https://tex.z-dn.net/?f=1.15)
(b). ![1.35](https://tex.z-dn.net/?f=1.35)
(c). ![1.45](https://tex.z-dn.net/?f=1.45)
(d). ![1.05](https://tex.z-dn.net/?f=1.05)
Explanation:
Consider the first fraction as ![\dfrac{3}{{4}}.](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B%7B4%7D%7D.)
Solve ![\dfrac{3}{{4}}.](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B%7B4%7D%7D.)
![\dfrac{3}{4} = 0.75](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%20%3D%200.75)
The decimal representation of
is ![0.75.](https://tex.z-dn.net/?f=0.75.)
Add
and ![0.6.](https://tex.z-dn.net/?f=0.6.)
Alternatively we can solve the expression
as follows,
![\begin{aligned}Sum&= \frac{3}{4} + 0.6\\&= \frac{3}{4} + \frac{6}{{10}}\\&=\frac{{3 \times 10 + 6 \times 4}}{{4 \times 10}}\\&= \frac{{30 + 24}}{{40}}\\&= \frac{{54}}{{40}}\\&= \frac{{27}}{{20}}\\&=1.35\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7DSum%26%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%200.6%5C%5C%26%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B6%7D%7B%7B10%7D%7D%5C%5C%26%3D%5Cfrac%7B%7B3%20%5Ctimes%2010%20%2B%206%20%5Ctimes%204%7D%7D%7B%7B4%20%5Ctimes%2010%7D%7D%5C%5C%26%3D%20%5Cfrac%7B%7B30%20%2B%2024%7D%7D%7B%7B40%7D%7D%5C%5C%26%3D%20%5Cfrac%7B%7B54%7D%7D%7B%7B40%7D%7D%5C%5C%26%3D%20%5Cfrac%7B%7B27%7D%7D%7B%7B20%7D%7D%5C%5C%26%3D1.35%5C%5C%5Cend%7Baligned%7D)
The sum of the ![\dfrac{3}{4} + 0.6 is 1.35.](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%20%2B%200.6%20is%201.35.)
The addition of
is
. Option (b) is correct.
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords:fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,