Question

12/5+3/5-1

Answer 1

12/5 = 2.4
3/5 = 0.6
2.4 + 0.6 = 3
3 - 1 = 2

Your answer is 2.

Answer 2

No, don't do it numerically.

\[\frac{12}{5} + \frac{3}{5} -1 \]The fractions have a common denominator, and can be combined.
\[\frac{12}{5} + \frac{3}5 - 1 = \frac{12 + 3}{5} -1 = \frac{15}{5} - 1 = 3 -1 = 2\]

Answer 3

\[\frac{ 12 }{ 5 }+\frac{ 3 }{ 5 }-1\]
Let's begin this by recognizing the problem in front of us, we can easily deduce it's a arithmetic problem, since we're not dealing with variables or any complex equation of any sort.
So we can call this a fractional opertative practice, let's begin:
we can see a sum of fractions, let's separate them so we can see it more clearly:
\[(\frac{ 12 }{ 5 }+\frac{ 3 }{ 5 })-1\]
It's exactly the same as the equation we stated initially just that I separated the sum, you can do it in order to make things more simple, because that's the main thing in any kind of mathematics problem.

I'll introduce you, without proof, the sum of fractions with same denominator:
\[\frac{ a }{ b }+\frac{ \alpha }{ b }=\frac{ a+\alpha }{ b }\]
Let's apply that on the sum I separated:
\[\frac{ 12+3 }{ 5 }-1\]
Operating the "12+3" and knowing the result is 15:
\[\frac{ 15 }{ 5 }-1\]
now, knowing a little about fractions we know they represent real numbers, a division, in other terms.
for example, the fraction a/b is also read as "a divided b", so applying that deduction to what we see as 15/5, we say "15 divided 5" wich is 3,
so what we deduced is:
\[\frac{ 15 }{ 5 }=3\]
\[(\frac{ 15 }{ 5 })-1\]
ending with:
\[3-1 = 2\]
now, by transitivity or transitive property of the postulates involved in arithmetic we say:
\[\frac{ 12 }{ 5 }+\frac{ 3 }{ 5 }-1 = 2\]

Answer 4

Or if you prefer, turn 1 into a fraction with a common denominator:
\[\frac{12}{5} + \frac{3}{5} - 1 = \frac{12}{5} + \frac{3}{5} - 1*\frac{5}{5} = \frac{12}{5} + \frac{3}{5} - \frac{5}{5}\]We can do the last bit because \[\frac{a}{a} = 1, \text{ as long as }a\ne0\]
\[\frac{12}5+\frac{3}5-\frac{5}5 = \frac{12+3-5}{5} = \frac{10}{5} = 2\]

Answer 5

Thank you guys! Math hates me but I love it....So we don't get along well.