Answer: In fraction form, the answer is [tex]26\frac{17}{45}[/tex].
Step-by-step explanation: We are given [tex]6\frac{3}{4} +19\frac{6}{7}[/tex] and have to find what the sum of the two numbers are. Before we can starting however, the first step is to make the denominators the same to do this, find the least common multiple of 7 and 4, and make that the denominator. Multiply the numerator as well to make the fraction the same. The least common multiple of 4 and 7 is 28. That gives us the problem [tex]6\frac{21}{28}+19\frac{24}{28}[/tex]. (Sorry I don't think I explained that well.)
The next step is to add the numerators of the fractions together. 21 +24 = 45, and the denominator stays the same. Also add the whole numbers together to make one mixed number. This gives us [tex]25\frac{45}{28}[/tex].
The finals step is to get rid of the improper fraction next to 25. To do this, subtract 28 from 42, and get 17. Add 1 to the 25, and you get [tex]26\frac{17}{28}[/tex].
Show work:
[tex]6\frac{3}{4} +19\frac{6}{7}[/tex]
[tex]6\frac{3(7)}{4(7)}+19\frac{6(4)}{7(4)}[/tex]
[tex]6\frac{21}{28} +19\frac{24}{28}[/tex]
[tex](6+19)+(\frac{21}{28} +\frac{24}{28})[/tex]
[tex]25+\frac{45}{28}[/tex]
[tex]25(+1)\frac{45(-28)}{28}[/tex]
[tex]26\frac{17}{28}[/tex]
Hope this helps! Have a great day!
