Question

4 1/8 - 6 2/9 + (-3 1/6) - (-5 3/4)решытее плиз​

Answer 1

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Answer 2

To solve the given expression $4 \frac{1}{8} - 6 \frac{2}{9} + \left(-3 \frac{1}{6}\right) - \left(-5 \frac{3}{4}\right),$ we'll follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the subtraction and addition in the correct order.

Let's start with Step 1:

$4 \frac{1}{8}$ as an improper fraction is $\frac{33}{8}$. $6 \frac{2}{9}$ as an improper fraction is $\frac{56}{9}$. $-3 \frac{1}{6}$ as an improper fraction is $-\frac{19}{6}$. $-5 \frac{3}{4}$ as an improper fraction is $-\frac{23}{4}$.

Now, let's move to Step 2 and perform the operations:

$$\begin{align*} &= \frac{33}{8} - \frac{56}{9} - \frac{19}{6} + \frac{23}{4} \\ &= \frac{33 \times 9}{8 \times 9} - \frac{56 \times 8}{9 \times 8} - \frac{19 \times 4}{6 \times 4} + \frac{23 \times 6}{4 \times 6} \\ &= \frac{297}{72} - \frac{448}{72} - \frac{76}{72} + \frac{138}{72} \\ &= -\frac{89}{72}. \end{align*}$$

So, the solution is $-\frac{89}{72}$.