Answer: [tex]4\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}+1\frac{1}{5}[/tex]
There are two ways in which you can do this:
METHOD #1:
Add the big numbers and the fractions individually.
[tex]3+1(\frac{1}{3}+\frac{1}{5})[/tex]
[tex]4(\frac{1*5+3*1}{15} )[/tex]
[tex]4(\frac{5+3}{15})[/tex]
[tex]4\frac{8}{15}[/tex]
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.
[tex]3\frac{1}{3}=\frac{3*3+1}{3}=\frac{10}{3}[/tex]
[tex]1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}[/tex]
Add them;
[tex]\frac{10}{3} +\frac{6}{5}=\frac{10*5+6*3}{3*5} =\frac{50+18}{15}=\frac{68}{15}[/tex]
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.
[tex]4\frac{8}{15}[/tex]
Answer:
[tex] 4 \frac{8}{15} [/tex]
alternative forms:
[tex] \frac{68}{15}, \:or \: 4.53333333[/tex]
Step-by-step explanation:
[tex]3 \frac{1}{3} + 1 \frac{1}{5} \\ multiply \: 3 \: and \: 3 \\ \\ \frac{9 + 1}{3} + \frac{1 \times 5 + 1}{5} \\ add \: 9 \: and \: 1 \\ \\ \frac{10}{3} + \frac{1 \times 5 + 1}{5} \\ multiply \: 5 \: to \: 1 \\ \\ \frac{10}{3} + \frac{5 + 1}{5} \\ add \: 5 \: to \: 1 \\ \\ \frac{10}{3} + \frac{6}{5} \\ least \: common \: multiple \: of \: 3 \: and \: 5 \: is \: 15. \\ convert \: \frac{10}{3} = 3.3333333333 \: and \: \frac{6}{5} = 1.2 \: to \\ fractions \: with \: denominator \: 15. \\ \\ \frac{50}{15} + \frac{18}{15} \\ add \: numerators \: and \: keep \: denominator \\ same \\ \\ \frac{50 + 18}{15} \\ add \: numerators \\ \\ \frac{68}{15} [/tex]
