Question
Write the fraction representing the shaded portion
✓
Answer
Factors of $48$ are $1, 2, 3, 4, ,6, 8, 12, 16, 24$ and $48.$
Factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30$ and $60.$
$\therefore$ Common factors of $48$ and $60$ are $1, 2, 3, 4, 6$ and $12.$
Highest of these common factors is $12.$
$\therefore H.C.F.$ of $48$ and $60$ is $12$
Now,$\frac{48}{60}=\frac{48\div12}{60\div\;12}=\frac45$
Hence, the simplest form of$\frac{48}{60}$ is $\frac45$
Factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30$ and $60.$
$\therefore$ Common factors of $48$ and $60$ are $1, 2, 3, 4, 6$ and $12.$
Highest of these common factors is $12.$
$\therefore H.C.F.$ of $48$ and $60$ is $12$
Now,$\frac{48}{60}=\frac{48\div12}{60\div\;12}=\frac45$
Hence, the simplest form of$\frac{48}{60}$ is $\frac45$
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