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minus 13 out of 4 + 15 out of 28 + 15 out of 28 + - 13 out of 4​

Sagot :

Step-by-step explanation:

To find the answer to the expression:

\[

-\frac{13}{4} + \frac{15}{28} + \frac{15}{28} + -\frac{13}{4}

\]

First, we simplify each term:

\[

-\frac{13}{4} + \frac{15}{28} + \frac{15}{28} - \frac{13}{4}

\]

Combine the like terms. Since \(-\frac{13}{4}\) appears twice:

\[

-\frac{13}{4} - \frac{13}{4} = -\frac{26}{4} = -\frac{13}{2}

\]

Next, combine the fractions with denominator \(28\):

\[

\frac{15}{28} + \frac{15}{28} = \frac{30}{28} = \frac{15}{14}

\]

Now, we need to combine \(-\frac{13}{2}\) and \(\frac{15}{14}\). To do this, find a common denominator, which is 14:

\[

-\frac{13}{2} = -\frac{13 \times 7}{2 \times 7} = -\frac{91}{14}

\]

So, we add \(-\frac{91}{14}\) and \(\frac{15}{14}\):

\[

-\frac{91}{14} + \frac{15}{14} = \frac{-91 + 15}{14} = \frac{-76}{14} = -\frac{38}{7}

\]

Therefore, the answer is:

\[

-\frac{38}{7}

\]