Fractions
Estimate the sum or difference of the mixed numbers in these activities. 6 13/15 + 1 4/5=
[tex] \large \tt 6\frac{13}{15} + 1 \frac{4}{5} [/tex]
Let's solve the fraction part first.
- First let's find the LCD or the number that can be divided by 15 and 5. So, the LCD of 15 and 5 is 15.
- [tex] \large \tt \frac{13}{15} + \frac{4}{5} = \frac{ \: }{15} + \frac{ \: }{15} [/tex]
- Second, let's divide the LCD (15) by the denominator of the first fraction (15) and then let's multiply the numerator of the first fraction (13) so, 15 divide by 15 is 1 times 13 is 13, the same goes for the other 15 divide by 5 is 3 times 4 is 12.
- [tex] \large \tt \frac{1 \times 13}{15} + \frac{3 \times 4}{15} = \frac{13}{15} + \frac{12}{15} [/tex]
- Last let's add them, 13 plus 12 is 25 then copy the denominator.
- [tex] \large\tt \frac{13}{15} + \frac{12}{15} = \frac{25}{15} [/tex]
- Simplify
- [tex] \large \tt \frac{25}{15} = 1 \frac{2}{3} [/tex]
- Then, combine the whole and fraction parts
- [tex] \large \tt 6 + 1 + 1 \frac{2}{3} = 8 \frac{2}{3} [/tex]
Therefore, [tex]\large\tt 6\frac{13}{15}[/tex] plus [tex]\large\tt 1\frac{4}{5}[/tex] is [tex]\large\tt 8\frac{2}{3}[/tex]
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