Addition of Fractions/Examples/Half plus Third
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Example of Addition of Fractions
$\dfrac 1 2 + \dfrac 1 3 = \dfrac 5 6$
Proof
| \(\ds \dfrac 1 2 + \dfrac 1 3\) | \(=\) | \(\ds \dfrac {3 \times 1} {3 \times 2} + \dfrac {2 \times 1} {2 \times 3}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac 3 6 + \dfrac 2 6\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac {3 + 2} 6\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac 5 6\) |
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fraction
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fraction