Multiplying a Fraction by a Fraction
To multiply two fractions, just multiply the numerators to get the numerator of the product, and multiply the denominators to get the denominator of the product.
You can visualize this by starting with a drawing of , then finding of that quantity. Divide the piece into 7 pieces of equal size. Then shade 5 of them.
Note that, even if the two fractions you're multiplying are both in simplest form, the result may not be:
This answer is correct, but it's better if you reduce the fraction (write it in simplest form). Factor out a 2 from both the numerator and denominator, and then cancel the common factor.
Note: If you're careful, you can speed up this process by reducing first, before multiplying.