Basic Math Examples

1 \frac{3}{4} \cdot 350

$1 \frac{3}{4} \cdot 350$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

(1 + \frac{3}{4}) \cdot 350

$(1 + \frac{3}{4}) \cdot 350$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{4}{4} + \frac{3}{4}) \cdot 350

$(\frac{4}{4} + \frac{3}{4}) \cdot 350$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{4 + 3}{4} \cdot 350

$\frac{4 + 3}{4} \cdot 350$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

\frac{7}{4} \cdot 350

$\frac{7}{4} \cdot 350$

\frac{7}{4} \cdot 350

$\frac{7}{4} \cdot 350$

\frac{7}{4} \cdot 350

$\frac{7}{4} \cdot 350$

Step 2

Cancel the common factor of

2

$2$ .

Tap for more steps...

Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{7}{2 (2)} \cdot 350

$\frac{7}{2 (2)} \cdot 350$

Step 2.2

Factor

2

$2$ out of

350

$350$ .

\frac{7}{2 \cdot 2} \cdot (2 \cdot 175)

$\frac{7}{2 \cdot 2} \cdot (2 \cdot 175)$

Step 2.3

Cancel the common factor.

$\frac{7}{2 \cdot 2} \cdot (2 \cdot 175)$

Step 2.4

Rewrite the expression.

$\frac{7}{2} \cdot 175$

Step 3

Combine

$\frac{7}{2}$ and

$175$ .

$\frac{7 \cdot 175}{2}$

Step 4

Multiply

$7$ by

$175$ .

$\frac{1225}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1225}{2}$

Decimal Form:

$612.5$

Mixed Number Form:

$612 \frac{1}{2}$