Respuesta :
Answer:
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]
[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]
- LCM of 5,10,15=30.
[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]
[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]
Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]
Given the following equation:
- [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex]
What is a fraction?
A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.
The parts of a fraction.
In Mathematics, a fraction consists of two (2) main parts and these are:
- Numerator
- Denominator
In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]
Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.
[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]
Read more on fractions here: brainly.com/question/368260