## twila1 3 years ago I need help quick. What is the quotient of three and one over five divided by seven over ten in simplest form? three and two over seven three and seven over fifty four and two over five four and four over seven

1. MathLegend

Wait all of those together are being divided?

2. pratu043

What do you mean by 3 and 1? 31?

3. quennie

4. twila1

$3\frac{ 1 }{ 5 }$

5. MathLegend

okay

6. quennie

ahh.. much better

7. MathLegend

If I were you I would change that Mixed Number into an improper fraction

8. MathLegend

So can you tell me what $3\frac{ 1 }{ 5}$ is as an improper fraction?

9. twila1

no?

10. pratu043

Multiply 3 by 5 and add 1 to get the numerator.

11. twila1

16

12. MathLegend

Don't forget to include the denominator.

13. pratu043

Yep so its 16/5

14. pratu043

as an improper fraction.

15. MathLegend

$\frac{ 16 }{ 5}$*$\frac{ 10 }{ 7}$

16. quennie

you will make the $3\frac{ 1 }{ 5 }$ in a improper fraction then switch the numerator of the second fraction then multiply it

17. MathLegend

When dividing I like to flip the second fraction (Known as the reciprical)

18. MathLegend

This way you can multiply

19. quennie

correction: reciprocal

20. MathLegend

16/5 * 10/7 = ?

21. MathLegend

Multiply Numerators and then Multiply the denominators

22. twila1

160 35

23. pratu043

What @MathLegend says is correct. $\frac{ 16 }{ 5 } \times \frac{ 10 }{ 7 } = \frac{ 160 }{ 35 }$

24. MathLegend

Good

25. pratu043

Can you simplify on your own now?

26. quennie

instead of using $\frac{ 16 }{ 5 }$ times $\frac{ 10 }{ 7 }$ = $\frac{ 160 }{ 35 }$ .. use the cross multiplication for easy answering.. it will help you ..

27. MathLegend

It is the same thing... doesn't matter.