Question

3 1/3 + 1 1/5= how do you solve

Answer 1

`4 (8)/(15)`

alternative forms:

`(68)/(15), \:or \: 4.53333333`

Explanation:

`3 (1)/(3) + 1 (1)/(5) \\ multiply \: 3 \: and \: 3 \\ \\ (9 + 1)/(3) + (1 * 5 + 1)/(5) \\ add \: 9 \: and \: 1 \\ \\ (10)/(3) + (1 * 5 + 1)/(5) \\ multiply \: 5 \: to \: 1 \\ \\ (10)/(3) + (5 + 1)/(5) \\ add \: 5 \: to \: 1 \\ \\ (10)/(3) + (6)/(5) \\ least \: common \: multiple \: of \: 3 \: and \: 5 \: is \: 15. \\ convert \: (10)/(3) = 3.3333333333 \: and \: (6)/(5) = 1.2 \: to \\ fractions \: with \: denominator \: 15. \\ \\ (50)/(15) + (18)/(15) \\ add \: numerators \: and \: keep \: denominator \\ same \\ \\ (50 + 18)/(15) \\ add \: numerators \\ \\ (68)/(15)`

Answer 2

Answer:
`4(8)/(15)`

Explanation:

`3(1)/(3)+1(1)/(5)`

There are two ways in which you can do this:

METHOD #1:

Add the big numbers and the fractions individually.

`3+1((1)/(3)+(1)/(5))`

`4((1*5+3*1)/(15) )`

`4((5+3)/(15))`

`4(8)/(15)`

METHOD #2:

Convert into improper fractions and solve;

To convert mixed numbers into improper fractions, multiply the big number by the denominator and add the numerator; all of this over the same denominator.

`3(1)/(3)=(3*3+1)/(3)=(10)/(3)`

`1(1)/(5)=(1*5+1)/(5)=(6)/(5)`

Add them;

`(10)/(3) +(6)/(5)=(10*5+6*3)/(3*5) =(50+18)/(15)=(68)/(15)`

Convert to mixed number by dividing:

68/15=4

60

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8

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4 is the big number, 8 the numerator and 15 the denominator.

`4(8)/(15)`