Common Denominator/Examples/3, 8, 6
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Example of Common Denominator
The fractions:
- $\dfrac 1 3$, $\dfrac 7 8$, $\dfrac 5 6$
all have a common denominator of $24$.
Hence:
| \(\ds \dfrac 1 3 + \dfrac 7 8 - \dfrac 5 6\) | \(=\) | \(\ds \dfrac 8 {24} + \dfrac {21} {24} - \dfrac {20} {24}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac {8 + 21 - 20} {24}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac 9 {24}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac 3 8\) |
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): common denominator