Question

Simplify:.........0-%203%20%5Cfrac%7B2%7D%7B15%7D%20" id="TexFormula1" title="2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} " alt="2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} " align="absmiddle" class="latex-formula">
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Answer 1

Simplifying $2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$ is equal to $\frac{23}{30}$

Given the following equation:

• $2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$

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:

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}$

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

$\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}$

Read more on fractions here: brainly.com/question/368260

Answer 2

Answer:

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$

$\frac{13}{5} + \frac{13}{10} - \frac{47}{15}$

• LCM of 5,10,15=30.

$= \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30}$

$= \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30}$