Basic Math Examples

$y = \frac{{10.5}^{2}}{16} + \frac{220.5}{16} + \frac{11}{8}$

Step 1

Combine the numerators over the common denominator.

$y = \frac{{10.5}^{2} + 220.5}{16} + \frac{11}{8}$

Step 2

Simplify the expression.

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Step 2.1

Raise $10.5$ to the power of $2$ .

$y = \frac{110.25 + 220.5}{16} + \frac{11}{8}$

Step 2.2

Add $110.25$ and $220.5$ .

$y = \frac{330.75}{16} + \frac{11}{8}$

Step 2.3

Divide $330.75$ by $16$ .

$y = 20.671875 + \frac{11}{8}$

Step 3

To write $20.671875$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$y = 20.671875 \cdot \frac{8}{8} + \frac{11}{8}$

Step 4

Combine fractions.

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Step 4.1

Combine $20.671875$ and $\frac{8}{8}$ .

$y = \frac{20.671875 \cdot 8}{8} + \frac{11}{8}$

Step 4.2

Combine the numerators over the common denominator.

$y = \frac{20.671875 \cdot 8 + 11}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $20.671875$ by $8$ .

$y = \frac{165.375 + 11}{8}$

Step 5.2

Add $165.375$ and $11$ .

$y = \frac{176.375}{8}$

Step 6

Divide $176.375$ by $8$ .

$y = 22.046875$