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Question:

Add:
\(\frac{\mathrm{3} }{\mathrm{7}} + \frac{\mathrm{2} }{\mathrm{3}} = \)

A \(= \frac{\mathrm{23} }{\mathrm{21}}\)
explanation

When adding fractions, we first need to find a common denominator. The smallest number that both 7 and 3 go into is 21.
\(\frac{\mathrm{3} }{\mathrm{7}} + \frac{\mathrm{2} }{\mathrm{3}}\)
\(= \frac{\mathrm{3 \times 3} }{\mathrm{7 \times 3}} + \frac{\mathrm{2 \times 7} }{\mathrm{3 \times 7}}\)
\(= \frac{\mathrm{9} }{\mathrm{21}} + \frac{\mathrm{14} }{\mathrm{21}}\)
\(= \frac{\mathrm{23} }{\mathrm{21}}\)

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