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Find the DIFFERENCE. (Get a common denominator)

14(2)/(3)-8(9)/(10)" ? "

$4$ . Find the DIFFERENCE. (Get a common denominator) $\newline$ $14 \frac{2}{3}-8 \frac{9}{10} \text { ? }$

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Least common denominator

Full solution

Q.

4

. Find the DIFFERENCE. (Get a common denominator)

\newline

14 \frac{2}{3}-8 \frac{9}{10} \text { ? }

Find Common Denominator: First, let's find a common denominator for the fractions $\frac{2}{3}$ and $\frac{9}{10}$ . $\newline$ The common denominator for $3$ and $10$ is $30$ .
Convert $\frac{2}{3}$ to $30$ : Now, convert $\frac{2}{3}$ to a fraction with a denominator of $30$ . $\frac{2}{3} = \frac{(2\times10)}{(3\times10)} = \frac{20}{30}$ .
Convert $\frac{9}{10}$ to $30$ : Next, convert $\frac{9}{10}$ to a fraction with a denominator of $30$ . $\frac{9}{10} = \frac{(9\times3)}{(10\times3)} = \frac{27}{30}$ .
Subtract Fractions: Now we can subtract the two fractions. $\frac{20}{30} - \frac{27}{30} = \frac{(20 - 27)}{30} = -\frac{7}{30}.$
Correct Multiplication Mistake: But wait, we made a mistake in the multiplication. Let's correct it. $14 \times \left(\frac{2}{3}\right)$ should be $\left(14\times2\right)/3$ and $8 \times \left(\frac{9}{10}\right)$ should be $\left(8\times9\right)/10$ .

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