Respuesta :
we have
[tex]\frac{3}{4} +0.6[/tex]
we know that
[tex]\frac{3}{4}=0.75[/tex]
and
[tex]0.75=0.40+0.35[/tex]
substitute in the expression
[tex]0.40+0.35 +0.6[/tex]
[tex](0.40+0.60)+0.35[/tex]
[tex](1.00)+0.35=1.35[/tex]
therefore
the answer is
[tex]1.35[/tex]
The addition of [tex]\dfrac{3}{4} + 0.6[/tex] is [tex]\boxed{1.35}[/tex]. Option (b) is correct.
Further explanation:
Given:
The expression is [tex]\dfrac{3}{4} + 0.6[/tex]
The options are as follows,
(a). [tex]1.15[/tex]
(b). [tex]1.35[/tex]
(c). [tex]1.45[/tex]
(d). [tex]1.05[/tex]
Explanation:
Consider the first fraction as [tex]\dfrac{3}{{4}}.[/tex]
Solve [tex]\dfrac{3}{{4}}.[/tex]
[tex]\dfrac{3}{4} = 0.75[/tex]
The decimal representation of [tex]\dfrac{3}{{4}}[/tex] is [tex]0.75.[/tex]
Add [tex]0.75[/tex] and [tex]0.6.[/tex]
Alternatively we can solve the expression [tex]\dfrac{3}{4} + 0.6[/tex] as follows,
[tex]\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}[/tex]
The sum of the [tex]\dfrac{3}{4} + 0.6 is 1.35.[/tex]
The addition of [tex]\dfrac{3}{4} + 0.6[/tex] is [tex]\boxed{1.35}[/tex]. 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 https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords:fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,
