Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is
.
Solution
-
Write the multiplication as a fraction multiplication:
-
Multiply the numerators and the denominators:
-
Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
Thus, the product is:
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The Deep Dive
To find the product of
, you can think of the whole number 2 as a fraction,
. When you multiply fractions, you multiply the numerators together and the denominators together.
So,
. You can simplify
to
. Therefore,
.
Now, let’s have some fun with numbers! Multiplying fractions can feel like a dance-off, and every number just wants to find its partner to bust out their moves together. So next time you multiply fractions, just remember they’re just two funky fractions vibing together to create a brand-new fraction that’s even more spectacular!
If you ever feel stuck, remember that fractions are like pizza slices. If you have three pizzas, and you share them with eight friends, each friend gets a slice! So when you bring in a second pizza to the party (that’s your 2), you can visualize how the slices increase, making it easier and tastier to understand how multiplication works with fractions!