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

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. $\frac{7}{5} \div \frac{3}{10}$

Accepted Answer

hey everyone here we are asked to evaluate the expression where we have five thirds divided by seven twelves. Now the key to solving this problem here is to first recall that when we divide fractions we need to find the reciprocal of one of the fractions and then multiply that reciprocal with the other fraction. So doing this, you can choose either of these fractions here, I'm going to go ahead and choose this 7 12 that we have. And well the reciprocal of seven twelves is just 7th. And so now we can rewrite our expression so we have five thirds times this reciprocal which again is 12 7th. And so now from here we need To reduce this expression by finding our common factors. So looking at our numerator as here we see we have the values five and 12. And in our denominator we have the values three and seven. So now we need to look at these values and find our common factors. And so again looking here, we see that for the numerator values, we have 12 in the denominator we have a three and well both of these terms have a factor, a common factor of three. So we can take this numerator which is 12 and divided by this denominator here which is three and we see that the reduced fraction of 12 thirds is just four divided by one. And then so now we have this reduced fraction and we just take the last two values which can't be reduced but our last two values give us the fraction five sevens. So with this we can multiply these fractions together. So our expression is now times four divided by one and now multiplying the enumerators, we get 20 and then this multiplying the denominators, we have 20 divided by seven, and we cannot reduce this fraction any further. So that is our final answer, which is answer choice C. 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. $\frac{7}{5} \div \frac{3}{10}$

Key Concepts

Dividing Fractions

Multiplying Fractions

Simplifying Fractions

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Multiply or divide as indicated. Write answers in lowest terms as needed. 75÷310\(\frac\)75\(\div\]\frac{3}{10}\)

Key Concepts

Dividing Fractions

Multiplying Fractions

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Multiply or divide as indicated. Write answers in lowest terms as needed. $\frac{7}{5} \div \frac{3}{10}$