Math  /  Numbers & Operations

QuestionCompare using >,<>,<, or ==. 3832\frac{3}{8} \square \frac{3}{2}

Studdy Solution

STEP 1

What is this asking? Which fraction is bigger: 3/8 or 3/2? Watch out! Don't just compare the denominators – remember the bigger the denominator, the *smaller* the pieces!

STEP 2

1. Visualize the fractions
2. Compare the fractions

STEP 3

Let's imagine we have two delicious pizzas!
One pizza is cut into **8** slices, and we have 38\frac{3}{8} of it.
That's **3** out of the **8** slices.

STEP 4

The other pizza is cut into only **2** giant slices, and we have 32\frac{3}{2} of it.
That's like having **three halves**!
That's more than one whole pizza!

STEP 5

We can see that 32\frac{3}{2} is bigger than one whole, because 22\frac{2}{2} would be one whole, and we have more than that!

STEP 6

On the other hand, 38\frac{3}{8} is *less* than one whole.
We'd need 88\frac{8}{8} to have a whole pizza, and we only have **3** slices.

STEP 7

So, since 32\frac{3}{2} is bigger than a whole and 38\frac{3}{8} is less than a whole, we know that 32\frac{3}{2} is bigger!

STEP 8

38<32\frac{3}{8} < \frac{3}{2}

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