Basic Math Examples

$4 \frac{1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1

Convert $4 \frac{1}{5}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$4 + \frac{1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1.2

Add $4$ and $\frac{1}{5}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$4 \cdot \frac{5}{5} + \frac{1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1.2.2

Combine $4$ and $\frac{5}{5}$ .

$\frac{4 \cdot 5}{5} + \frac{1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 5 + 1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $5$ .

$\frac{20 + 1}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 1.2.4.2

Add $20$ and $1$ .

$\frac{21}{5} + {0.07}^{2} + \frac{34.5 - 17}{\frac{1}{4}}$

Step 2

Subtract $17$ from $34.5$ .

$\frac{21}{5} + {0.07}^{2} + \frac{17.5}{\frac{1}{4}}$

Step 3

Simplify each term.

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Step 3.1

Raise $0.07$ to the power of $2$ .

$\frac{21}{5} + 0.0049 + \frac{17.5}{\frac{1}{4}}$

Step 3.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{21}{5} + 0.0049 + 17.5 \cdot 4$

Step 3.3

Multiply $17.5$ by $4$ .

$\frac{21}{5} + 0.0049 + 70$

Step 4

Find the common denominator.

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Step 4.1

Write $0.0049$ as a fraction with denominator $1$ .

$\frac{21}{5} + \frac{0.0049}{1} + 70$

Step 4.2

Multiply $\frac{0.0049}{1}$ by $\frac{5}{5}$ .

$\frac{21}{5} + \frac{0.0049}{1} \cdot \frac{5}{5} + 70$

Step 4.3

Multiply $\frac{0.0049}{1}$ by $\frac{5}{5}$ .

$\frac{21}{5} + \frac{0.0049 \cdot 5}{5} + 70$

Step 4.4

Write $70$ as a fraction with denominator $1$ .

$\frac{21}{5} + \frac{0.0049 \cdot 5}{5} + \frac{70}{1}$

Step 4.5

Multiply $\frac{70}{1}$ by $\frac{5}{5}$ .

$\frac{21}{5} + \frac{0.0049 \cdot 5}{5} + \frac{70}{1} \cdot \frac{5}{5}$

Step 4.6

Multiply $\frac{70}{1}$ by $\frac{5}{5}$ .

$\frac{21}{5} + \frac{0.0049 \cdot 5}{5} + \frac{70 \cdot 5}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{21 + 0.0049 \cdot 5 + 70 \cdot 5}{5}$

Step 6

Simplify each term.

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Step 6.1

Multiply $0.0049$ by $5$ .

$\frac{21 + 0.0245 + 70 \cdot 5}{5}$

Step 6.2

Multiply $70$ by $5$ .

$\frac{21 + 0.0245 + 350}{5}$

Step 7

Simplify the expression.

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Step 7.1

Add $21$ and $0.0245$ .

$\frac{21.0245 + 350}{5}$

Step 7.2

Add $21.0245$ and $350$ .

$\frac{371.0245}{5}$

Step 7.3

Divide $371.0245$ by $5$ .

$74.2049$