Answer:
2/3
Step-by-step explanation:
The first place finishers can be divided into two groups: those who went to Ohio State, and those who did not attend Ohio State.
2/5 of the first place finishers went to Ohio State. 1/2 of these were women, which means 1/2 were men. The fraction of first place finishers who went to Ohio State AND were men is:
1/2 (2/5) = 1/5
3/5 of the first place finishers did not attend Ohio State. 2/9 of these were women, which means 7/9 were men. The fraction of first place finishers who did not attend Ohio State AND were men is:
7/9 (3/5) = 7/15
So the fraction of first place finishers who were men is:
1/5 + 7/15
= 3/15 + 7/15
= 10/15
= 2/3
422₅ - 143₅ = 224₅
We convert each number to base 10.
So 422₅ = 4 × 5² + 2 × 5¹ + 2 × 5⁰
= 4 × 25 + 2 × 5 + 2 × 1
= 100 + 10 + 2
= 112₁₀
143₅ = 1 × 5² + 4 × 5¹ + 3 × 5⁰
= 1 × 25 + 4 × 5 + 3 × 1
= 25 + 20 + 3
= 48₁₀
So 422₅ - 143₅ = 112₁₀ - 48₁₀ = 64₁₀
We now convert 64₁₀ to base 5
64 ÷ 5 = 12 r 4,
12 ÷ 5 = 2 r 2
2 ÷ 5 = 0 r 2
Counting upwards,
So, 65₁₀ = 224₅
So, 422₅ - 143₅ = 224₅
Learn more about number bases here:
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1 17/28 fdgdfgfdgdfgdfgdfgdgdgdgdgdgdg
Decimals fractions power of 10 customary metric liquid volume