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Multiple Choice

What is the sum of 1/3 and 5/6?

To find the sum of \( \frac{1}{3} \) and \( \frac{5}{6} \), it is essential to express both fractions with a common denominator. The denominators are 3 and 6, and the least common denominator is 6. First, convert \( \frac{1}{3} \) to an equivalent fraction with a denominator of 6. This is done by multiplying both the numerator and the denominator by 2: \[ \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \] Now, we can sum \( \frac{2}{6} \) and \( \frac{5}{6} \): \[ \frac{2}{6} + \frac{5}{6} = \frac{2 + 5}{6} = \frac{7}{6} \] To interpret \( \frac{7}{6} \) as a mixed number, we see that \( 7 \div 6 \) yields 1 with a remainder of 1, leading to: \[ \frac{7}{6} = 1 \frac{1}{6} \

To find the sum of ( \frac{1}{3} ) and ( \frac{5}{6} ), it is essential to express both fractions with a common denominator. The denominators are 3 and 6, and the least common denominator is 6.

First, convert ( \frac{1}{3} ) to an equivalent fraction with a denominator of 6. This is done by multiplying both the numerator and the denominator by 2:

[

\frac{1 \times 2}{3 \times 2} = \frac{2}{6}

]

Now, we can sum ( \frac{2}{6} ) and ( \frac{5}{6} ):

[

\frac{2}{6} + \frac{5}{6} = \frac{2 + 5}{6} = \frac{7}{6}

]

To interpret ( \frac{7}{6} ) as a mixed number, we see that ( 7 \div 6 ) yields 1 with a remainder of 1, leading to:

[

\frac{7}{6} = 1 \frac{1}{6}

\