Question

What is greater one seventh or one nineth

Answer 1

Method 1:

Look at the picture.

$\dfrac{1}{7}$ is greater than $\dfrac{1}{9}$

$\boxed{\dfrac{1}{7}>\dfrac{1}{9}}$

Method 2:

Find the common denominator:

multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

multiples of 9: 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

63 = 7 · 9

$\dfrac{1}{7}=\dfrac{1\cdot9}{7\cdot9}=\dfrac{9}{63}\\\\\dfrac{1}{9}=\dfrac{1\cdot7}{9\cdot7}=\dfrac{7}{63}$

$\dfrac{9}{63} > \dfrac{7}{63}$

therefore

$\dfrac{1}{7} > \dfrac{1}{9}$

Answer 2

One seventh is greater