Multiply or divide as indicated. Write answers in lowest terms...

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (21/8)∙(4/7)

Accepted Answer

Hey everyone here we are asked to evaluate the expression where we have 27, times 13 nights. Now, before we begin, just multiplying these fractions together, we want to start by reducing the expression by checking for our common factors. So looking at the values in the enumerators we have 20 set seven and 13. And then in our denominators we have the values 9. So now again we need to check for our common factors here. So we can see that in our numerator we have in the denominator we have nine. Well both of these values are the divisible by nine. So they have a common factor of nine. Therefore we can take the numerator and divided by the denominator. So we have 27 divided by nine which simplifies to three divided by one. And now we can look at our last two terms which are 13 and 26. Well both of these terms have a common factor of 30 13. So again we take the numerator which is 13 and divided by the denominator which is 26. Now simplifying this fraction here we are left with one half. And now all we have to do is multiply these reduced fractions. So our original expression is now three divided by one times one half while multiplying these terms together in the numerator we have three times one giving us three and in the denominator we have one times two which is just two. So we're left with the final reduced fraction of three halves which is our answer here for choice B. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

Multiply or divide as indicated. Write answers in lowest terms as needed. (21/8)∙(4/7)

Key Concepts

Multiplication of Fractions

Simplifying Fractions

Understanding Numerators and Denominators

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