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2/5*-3/7-1/6*3/2+1/14*2/5

Hi,

to evaluate the expression

\[\frac25 \times \frac{-3}{7} - \frac16 \times \frac32 + \frac{1}{14} \times \frac25\]

it is important to follow the mathematical convention that multiplication is performed before addition. Thus, for example, I would first calculate $\large \frac25 \times \frac{-3}{7}$ by multiplying the numerators and denominators to obtain

\[\frac25 \times \frac{-3}{7} = \frac{2 \times -3}{5 \times 7} = \frac{-6}{35}.\]

In a similar fashion perform the remaining two multiplications and then combine the resulting fractions.

Penny

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