Question

Paul ate 7/9 of 1/6 of his birthday cake. Did Paul eat more or less than 7/9 of the cake? Did he eat more or less than 1/6 of the cake? Explain your answer WITHOUT finding the exact product in the space below.

Answer 1

See below ↓↓

Explanation:

• He ate less than 7/9 of the cake
• He ate less than 1/6 of the cake

To understand, I'll explain in simple words.

• First look at the part where it says 1/6 of his birthday cake
• That means he can only eat less than or equal to 1/6 of the cake
• 7/9 > 1/6, so it's definitely less than 7/9
• Now, it says he ate 7/9 of that 1/6 slice of the cake
• The 1/6 slice can be represented as a whole (9/9) and he only ate 7 parts of that small fraction
• Therefore, he ate less than 1/6 of the cake
• I hope it's clear and feel free to ask if you're still confused