Basic Math Examples

$\frac{π}{6} + \frac{2}{3} = 1 \frac{1}{4}$

Step 1

Simplify the right side.

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Step 1.1

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

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Step 1.1.1

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

$\frac{π}{6} + \frac{2}{3} = 1 + \frac{1}{4}$

Step 1.1.2

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

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Step 1.1.2.1

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

$\frac{π}{6} + \frac{2}{3} = \frac{4}{4} + \frac{1}{4}$

Step 1.1.2.2

Combine the numerators over the common denominator.

$\frac{π}{6} + \frac{2}{3} = \frac{4 + 1}{4}$

Step 1.1.2.3

Add $4$ and $1$ .

$\frac{π}{6} + \frac{2}{3} = \frac{5}{4}$

Step 2

Simplify $\frac{3.14159265}{6} + \frac{2}{3}$ .

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Step 2.1

Divide $3.14159265$ by $6$ .

$0.52359877 + \frac{2}{3} = \frac{5}{4}$

Step 2.2

To write $0.52359877$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$0.52359877 \cdot \frac{3}{3} + \frac{2}{3} = \frac{5}{4}$

Step 2.3

Combine fractions.

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Step 2.3.1

Combine $0.52359877$ and $\frac{3}{3}$ .

$\frac{0.52359877 \cdot 3}{3} + \frac{2}{3} = \frac{5}{4}$

Step 2.3.2

Combine the numerators over the common denominator.

$\frac{0.52359877 \cdot 3 + 2}{3} = \frac{5}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $0.52359877$ by $3$ .

$\frac{1.57079632 + 2}{3} = \frac{5}{4}$

Step 2.4.2

Add $1.57079632$ and $2$ .

$\frac{3.57079632}{3} = \frac{5}{4}$

Step 2.5

Divide $3.57079632$ by $3$ .

$1.19026544 = \frac{5}{4}$

Step 3

Since $1.19026544 \neq \frac{5}{4}$ , there are no solutions.

No solution