Find the product and write in lowest terms.

10/51.3/8

10/51.3 = .1949

.1949/8 = .024366

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To find the product of two fractions and write it in lowest terms, you need to multiply their numerators (the top numbers) to get the new numerator and multiply their denominators (the bottom numbers) to get the new denominator.

In this case, the two fractions are 10/51 and 3/8.

To find the product, you multiply the numerators: 10 * 3 = 30.
And you multiply the denominators: 51 * 8 = 408.

Therefore, the product of 10/51 and 3/8 is 30/408.

To write the fraction in lowest terms, you need to simplify it by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

In this case, the GCD of 30 and 408 is 6.

Dividing 30 by 6 gives us 5.
Dividing 408 by 6 gives us 68.

Therefore, the product of 10/51 and 3/8 in lowest terms is 5/68.