Answer: 4/5 is greater
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Explanation
Use a calculator or long division to see that
- 4/5 = 0.800 exactly
- 4/6 = 0.667 approximately (the 6's go on forever, but we need to round at some point).
Since 800 > 667, this means 0.800 > 0.667. It leads to 4/5 > 4/6.
Therefore 4/5 is larger.
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Another approach is to use the cross multiplication method. First we assume the fractions are equal.
4/5 = 4/6
4*6 = 5*4
24 = 20
The last equation is false, but we can fix things by replacing each equal sign with a greater than sign.
4/5 > 4/6
4*6 > 5*4
24 > 20
We take the process backwards to go from 24 > 20, and reverse our way back to 4/5 > 4/6 to show that 4/5 is larger.