#### How many fractions of type ^{1a9b}/_{1x23y} can be simplified by 44?

^{1a9b}/

_{1x23y}

Hint 44 has to divide both1a9band1x23y. But 44 =4 * 11, therefore 4 and 11 must divide both1a9band1x23y. What are the divisibility rules for 4 and 11?