Respuesta :
ANSWER
[tex] = 1 \frac{7}{20} [/tex]
Or
[tex]=1.35[/tex]
EXPLANATION
We want to simplify
[tex] \frac{3}{4} + 0.6[/tex]
Let us change the decimal to a fraction to obtain,
[tex] \frac{3}{4} + \frac{6}{10} [/tex]
The least common denominator is 20.
We collect LCM for the denominator to obtain,
[tex] \frac{3 \times 5 + 2 \times 6}{20} [/tex]
[tex] = \frac{15+ 12}{20} [/tex]
[tex] = \frac{27}{20} [/tex]
[tex] = 1 \frac{7}{20}=1.35 [/tex]
[tex] = 1 \frac{7}{20} [/tex]
Or
[tex]=1.35[/tex]
EXPLANATION
We want to simplify
[tex] \frac{3}{4} + 0.6[/tex]
Let us change the decimal to a fraction to obtain,
[tex] \frac{3}{4} + \frac{6}{10} [/tex]
The least common denominator is 20.
We collect LCM for the denominator to obtain,
[tex] \frac{3 \times 5 + 2 \times 6}{20} [/tex]
[tex] = \frac{15+ 12}{20} [/tex]
[tex] = \frac{27}{20} [/tex]
[tex] = 1 \frac{7}{20}=1.35 [/tex]
The addition of [tex]\dfrac{3}{4} + 0.6[/tex] is [tex]\boxed{1.35}.[/tex]
Further explanation:
Given:
The expression is [tex]\dfrac{3}{4} + 0.6[/tex]
Explanation:
After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.
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 0.75 and 0.6.
[tex]\begin{aligned}\text{Sum}&= 0.75 + 0.6\\&= 1.35\\\end{aligned}[/tex]
Alternatively we can solve the expression [tex]\dfrac{3}{4} + 0.6[/tex] as follows,
[tex]\begin{aligned}\text{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[/tex] is [tex]1.35.[/tex]
The addition of [tex]\dfrac{3}{4} + 0.6[/tex] is [tex]\boxed{1.35}.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: fraction, simplify, 3/4, 0.6, add, subtraction, denominators, numerators, addition, mixed fraction, fraction, decimal expansion, simplify, ones, tenth, decimal, ¾ + 0.6, ratio.
