rewrite the expression in unit form. \ndivision expression | unit form\n5 ÷ 4 | □ fourths ÷ 4 = □ fourths

Explanation:

Step1: Convert 5 to fourths

Since 1 is 4 fourths, 5 is $5\times4 = 20$? Wait, no. Wait, unit form with fourths: 5 can be thought of as 5 ones, and 1 one is 4 fourths, so 5 ones is $5\times4 = 20$ fourths? Wait, no, maybe I messed up. Wait, actually, to express 5 in fourths, since 1 = 4/4, so 5 = 5*(4/4) = 20/4? No, wait, the first blank is how many fourths is 5. Wait, 5 is equal to 20 fourths? No, wait, 1 is 4 fourths, so 5 is 54 = 20 fourths? But that seems wrong. Wait, no, maybe the question is to rewrite 5 as a number of fourths. Wait, 5 divided by 4 is the same as (5 fourths) divided by 4? No, wait, 5 is 20 fourths? Wait, no, 1 is 4 fourths, so 5 is 54 = 20 fourths? But then 20 fourths divided by 4 is 5 fourths. But that would make 5 ÷ 4 = 5/4, which is 5 fourths. Wait, maybe I made a mistake. Wait, let's think again. The unit form is using fourths. So 5 can be written as 20 fourths? No, wait, 1 is 4/4, so 5 is 5*(4/4) = 20/4? No, 5 is 20/4? No, 5 is 5, which is 20/4? Wait, 20/4 is 5, yes. So 5 is 20 fourths? Then 20 fourths divided by 4 is 5 fourths. But that would mean 5 ÷ 4 = 5/4, which is correct. But the first blank is how many fourths is 5. Wait, 5 is 20 fourths? No, wait, 1 is 4 fourths, so 5 is 54 = 20 fourths? Yes. Then 20 fourths ÷ 4 = 5 fourths. But that seems like the first blank is 20 and the second is 5. But let's check again. Wait, maybe the question is simpler. Wait, 5 divided by 4 is the same as (5 fourths) divided by 4? No, wait, 5 is 5, and 1 is 4 fourths, so 5 is 5(4/4) = 20/4, which is 20 fourths. Then 20 fourths divided by 4 is 5 fourths. So 5 ÷ 4 = 20 fourths ÷ 4 = 5 fourths. So the first blank is 20 and the second is 5. But that seems correct. Wait, but maybe I made a mistake. Wait, let's think of 5 as 5 ones, and each one is 4 fourths, so 5 ones is 54 = 20 fourths. Then dividing by 4, we get 20/4 = 5 fourths. So yes, the first blank is 20 and the second is 5. Wait, but the problem says "□ fourths ÷ 4 = □ fourths". So 5 ÷ 4 is equal to (20 fourths) ÷ 4 = 5 fourths. So the first blank is 20, the second is 5. But wait, maybe the question is not that. Wait, maybe 5 is 5 fourths? No, 5 fourths is 5/4, which is 1.25, but 5 is 5. So that can't be. Wait, I think I messed up. Wait, let's check the problem again. The division expression is 5 ÷ 4, and we need to rewrite it in unit form as □ fourths ÷ 4 = □ fourths. So let's let x be the first blank, so x fourths ÷ 4 = y fourths. So x/4 ÷ 4 = y/4. Simplify left side: x/4 ÷ 4 = x/16. So x/16 = y/4. Multiply both sides by 16: x = 4y. Also, the original expression is 5 ÷ 4 = 5/4. And y/4 = 5/4, so y = 5. Then x = 45 = 20. So x is 20, y is 5. So the first blank is 20, the second is 5.

Step2: Verify

So 20 fourths ÷ 4 = 5 fourths. Let's check: 20/4 ÷ 4 = 5 ÷ 4 = 5/4, and 5 fourths is 5/4. So that works.

Answer:

First blank: 20, Second blank: 5