Question
Reduce the fraction to simplest from: $\frac{150}{60}$
✓
Answer
Factors of $150$ are $1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75$ and $150$
Factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30$ and $60$
$\therefore$ Common factors of $150$ and $60$ are $1, 2, 3, 5, 6, 10, 15$ and $30.$
Highest of these common factors is $30.$
$\therefore H.C.F. $ of $150$ and $60$ is $30.$
Now,$\frac{150}{60}=\frac{150\div30}{60\div\;30}=\frac52$
Hence, the simplest form of $\frac{150}{60}$ is$\frac52$
Factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30$ and $60$
$\therefore$ Common factors of $150$ and $60$ are $1, 2, 3, 5, 6, 10, 15$ and $30.$
Highest of these common factors is $30.$
$\therefore H.C.F. $ of $150$ and $60$ is $30.$
Now,$\frac{150}{60}=\frac{150\div30}{60\div\;30}=\frac52$
Hence, the simplest form of $\frac{150}{60}$ is$\frac52$
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