Question

What is 1 1/4÷ by 3 4/5

Answer 1

Answer:

1/3

Step-by-step explanation:

covert the mixed number to an improper fraction

1x4+1 / 4

any expression multiplied by 1 remains the same

4+1 / 4

Add the numbers

5 / 4

Dividing is equivalent to multiplying with the reciprocal value

5 / 4 x 1 / 3 x 4 / 5

reduce the numbers with greatest common divisor 5

1 / 4 x 1 / 3 x 4

reduce the numbers with greatest common divisor 4

1 /3

Answer 2

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\div\cfrac{19}{5}\implies \cfrac{5}{4}\cdot \cfrac{5}{19}\implies \cfrac{25}{76}$