Question

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

Answer 1

Answer:

33/6 or 11/2 or 5.5

Step-by-step explanation:

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.

$\frac{7}{6} +\frac{13}{3}$

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.

$\frac{7}{6} +\frac{13}{3}*2\\\\\frac{7}{6} + \frac{26}{6}$

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 : $\frac{33}{6}$ or a simplified version $\frac{11}{2}$ or 5.5.

Answer 2

Answer:

11/2

or $5\frac{1}{2}$

Step-by-step explanation:

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

$\\\mathrm{Cancel\:the\:common\:factor:}3\\=\frac{11}{2}\\\\= 5\frac{1}{2}$