Question

6 2/7 + 7 1/2 I need to find the sum and simplify it

Answer 1

$\huge\text{Hey there!}$

$\mathsf{6 \dfrac{2}{7} + 7\dfrac{1}{2}}$

$\mathsf{= \dfrac{6\times7 + 2}{7} + \dfrac{7\times2+1}{2}}$

$\mathsf{= \dfrac{42 + 2}{7} + \dfrac{14 + 1}{2}}$

$\mathsf{= \dfrac{44}{7} + \dfrac{15}{2}}$

$\mathsf{= \dfrac{44}{7}\times\dfrac{2}{2} + \dfrac{15}{2}\times\dfrac{7}{7}}$

$\mathsf{= \dfrac{44\times2}{7\times2} + \dfrac{15\times7}{2\times7}}$

$\mathsf{= \dfrac{88}{14} + \dfrac{105}{14}}$

$\mathsf{= \dfrac{88 + 105}{14 - 0}}$

$\mathsf{= \dfrac{193}{14}}$

$\mathsf{\approx 13 \dfrac{11}{14}}$

$\huge\textbf{Therefore, your answer should be: }$

$\huge\boxed{\frak{13 \dfrac{11}{14}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$