Question

1 2/5 divided by 1 3/10 in its simplest form

Answer 1

To divide 1 2/5 by 1 3/10, convert both fractions to improper fractions, perform the division, and simplify the resulting fraction to its simplest form, which is 14/13.

Step-by-step explanation:

To divide 1 2/5 by 1 3/10, we need to convert both fractions to improper fractions and then perform the division.

1 2/5 as an improper fraction is (1 * 5 + 2) / 5 = 7/5.

1 3/10 as an improper fraction is (1 * 10 + 3) / 10 = 13/10.

Now we can divide: (7/5) / (13/10) = (7/5) * (10/13) = 70/65.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor is 5. Dividing 70 by 5 gives us 14, and dividing 65 by 5 gives us 13.

Therefore, 1 2/5 divided by 1 3/10 in its simplest form is 14/13.

Answer 2

`(21)/(50)`

Step-by-step explanation:

Make an expression.

`1(2)/(5)` ÷
`1`×
`(3)/(10)`

Any expression divided by 1 remains the same.

`1(2)/(5)` ÷
`(3)/(10)`

Convert the mixed number to an improper fraction.

`(7)/(5)` ×
`(3)/(10)`

Multiply the fractions.

`(21)/(50)`