What is the answer to 7/6 + 13/3=

One way to solve this is by using a calculator and spitting out a answer, but just in case you're not allowed to use a calculator, here's how you would do it on paper.

[tex]\frac{7}{6} +\frac{13}{3}[/tex]

The two denominators are different, so we have to make them the same by multiply either side (sometimes both) to make the denominator the same.

[tex]\frac{7}{6} +\frac{13}{3}*2\\\\\frac{7}{6} + \frac{26}{6}[/tex]

Now the denominators are the same. Since the denominators are the same, we can ignore the denominator for now and focus on the numerators.

26 + 7 = 33

The numerator is 33 when adding the two fractions together. Now, to make your fraction complete attach the denominator we ignored.

Your final answer is : [tex]\frac{33}{6}[/tex] or a simplified version [tex]\frac{11}{2}[/tex] or 5.5.

ZJSG09112007 ZJSG09112007 · Answer 2 · 2020-10-03T23:58:01+02:00

Answer:

11/2

or [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]7/6 + 13/3\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=\frac{7}{6}+\frac{26}{6}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\\\\\frac{7}{6}+\frac{26}{6}=\frac{7+26}{6}\\\\=\frac{33}{6}\\\\\mathrm{Factor\:the\:number:\:}\:33=3\times\:11\\\\=\frac{3\times\:11}{6}\\\\\mathrm{Factor\:the\:number:\:}\:6=3\times\:2\\=\frac{3\times\:11}{3\times\:2}\\[/tex]

[tex]\\\mathrm{Cancel\:the\:common\:factor:}3\\=\frac{11}{2}\\\\= 5\frac{1}{2}[/tex]