Basic Math Examples

$\frac{41}{16} + \frac{41}{25}$

Step 1

To write

$\frac{41}{16}$ as a fraction with a common denominator, multiply by

$\frac{25}{25}$ .

$\frac{41}{16} \cdot \frac{25}{25} + \frac{41}{25}$

Step 2

To write

$\frac{41}{25}$ as a fraction with a common denominator, multiply by

$\frac{16}{16}$ .

$\frac{41}{16} \cdot \frac{25}{25} + \frac{41}{25} \cdot \frac{16}{16}$

Step 3

Write each expression with a common denominator of

$400$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{41}{16}$ by

$\frac{25}{25}$ .

$\frac{41 \cdot 25}{16 \cdot 25} + \frac{41}{25} \cdot \frac{16}{16}$

Step 3.2

Multiply

$16$ by

$25$ .

$\frac{41 \cdot 25}{400} + \frac{41}{25} \cdot \frac{16}{16}$

Step 3.3

Multiply

$\frac{41}{25}$ by

$\frac{16}{16}$ .

$\frac{41 \cdot 25}{400} + \frac{41 \cdot 16}{25 \cdot 16}$

Step 3.4

Multiply

$25$ by

$16$ .

$\frac{41 \cdot 25}{400} + \frac{41 \cdot 16}{400}$

Step 4

Combine the numerators over the common denominator.

$\frac{41 \cdot 25 + 41 \cdot 16}{400}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$41$ by

$25$ .

$\frac{1025 + 41 \cdot 16}{400}$

Step 5.2

Multiply

$41$ by

$16$ .

$\frac{1025 + 656}{400}$

Step 5.3

Add

$1025$ and

$656$ .

$\frac{1681}{400}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1681}{400}$

Decimal Form:

$4.2025$

Mixed Number Form:

$4 \frac{81}{400}$