Question

1 4/5 divided by 2 7/10

Answer 1

2/3

Explanation:

1 4/5 ÷ 2 7/10

Convert these into improper fractions

(Denomintaor × whole number + numerator)/denoninator

(5 × 1 + 4)/5

9/5

(10 × 2 + 7)/10

27/10

Now the equation says:

9/5 ÷ 27/10

Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction

9/5 × 10/27

Multiply the numerators and denominators separately

(9 × 10)/(5 × 27)

90/135

Simplify

Both 90 and 135 can evenly fit 15

90 ÷ 15 = 6

135 ÷ 15 = 9

6/9

This can still be simplified further

Both 6 and 9 can evenly fit 3

6 ÷ 3 = 2

9 ÷ 3 = 3

2/3

This cannot be simplified any further

Answer 2

2/3

Explanation:

In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.

So it would be 1 4/5 times the reciprocal of 2 7/10.

Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.

So 1 4/5 x 10/27 = 2/3