Addition of Fractions/Examples/Half plus Third

Example of Addition of Fractions

$\dfrac 1 2 + \dfrac 1 3 = \dfrac 5 6$

$\ds \dfrac 1 2 + \dfrac 1 3$

$=$

$\ds \dfrac {3 \times 1} {3 \times 2} + \dfrac {2 \times 1} {2 \times 3}$

$\ds $

$=$

$\ds \dfrac 3 6 + \dfrac 2 6$

$\ds $

$=$

$\ds \dfrac {3 + 2} 6$

$\ds $

$=$

$\ds \dfrac 5 6$

$\blacksquare$

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