work out 2 3/14 + 3 4/14 give your answer as a mixed number in its simplest form
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Step-by-step explanation:
[tex] \tt{2 \frac{3}{14} + 3 \frac{4}{14} } [/tex]
Convert the mixed number to improper fraction. For that : Multiply denominator and whole number and after doing so , add the numerator.
⇢ [tex] \tt{ \frac{14 \times 2 + 3}{14} + \frac{14 \times 3 + 4}{14}} [/tex]
⇢ [tex] \tt{ \frac{31}{14} + \frac{46}{14}} [/tex]
⇢ [tex] \tt{ \frac{31 + 46}{14}} [/tex]
⇢ [tex] \tt{ \frac{77}{14}} [/tex]
Convert improper fraction to mixed number :
For that : Firstly , Divide the numerator by the denominator. Secondly , the number of times the numerator goes into the denominator evenly is the whole number. Thirdly , The remainder is the new numerator. And the denominator remains the same.
⇢ [tex]5 \frac{7}{14} [/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{5 \frac{7}{14} }}}}}}}[/tex]
Hope I helped ! ツ
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