Pergunta

Draw area models to make like units. Complete the equation to ad (2)/(5)+(5)/(6)=(2times 5)/(5times 16)+(5times 2)/(6times 15)+=underline ( )+underline ( )=underline ( )
Solução

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CintiaVeterano · Tutor por 12 anos
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To solve the equation \frac{2}{5} + \frac{5}{6}, we need to find a common denominator for the fractions. The least common multiple (LCM) of 5 and 6 is 30. We can rewrite the fractions with a denominator of 30:
\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}
\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}
Now we can add the fractions:
\frac{12}{30} + \frac{25}{30} = \frac{12 + 25}{30} = \frac{37}{30}
So the completed equation is:
\frac{2}{5} + \frac{5}{6} = \frac{12}{30} + \frac{25}{30} = \frac{37}{30}
\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}
\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}
Now we can add the fractions:
\frac{12}{30} + \frac{25}{30} = \frac{12 + 25}{30} = \frac{37}{30}
So the completed equation is:
\frac{2}{5} + \frac{5}{6} = \frac{12}{30} + \frac{25}{30} = \frac{37}{30}
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