Calculate without using a calculator

Question

5 3/5÷ 7/10

Answer 1

First, convert 5 3/5 to an improper fraction:
5 3/5 = (5 x 5 + 3)/5 = 28/5

Then, convert 7/10 to an equivalent fraction with a denominator of 5:
7/10 = (7 x 1)/ (10 x 1) = 7/10 = 14/20 = 21/30

Now, we can rewrite the division expression as a multiplication expression by flipping the second fraction:
(28/5) x (30/21)

We can simplify this expression by canceling out factors that are common to both the numerator and the denominator. For example, 5 and 21 have a common factor of 5, which can be canceled out:

(28/1) x (6/3)

We can also simplify 28/1 to just 28:

28 x (6/3)

And finally, we can simplify 6/3 to just 2:

28 x 2 = 56

Therefore, 5 3/5 ÷ 7/10 = 56.