Evaluate
\frac{b}{71}-\frac{44}{45}
Factor
\frac{45b-3124}{3195}
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\frac{45b}{3195}-\frac{44\times 71}{3195}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 71 and 45 is 3195. Multiply \frac{b}{71} times \frac{45}{45}. Multiply \frac{44}{45} times \frac{71}{71}.
\frac{45b-44\times 71}{3195}
Since \frac{45b}{3195} and \frac{44\times 71}{3195} have the same denominator, subtract them by subtracting their numerators.
\frac{45b-3124}{3195}
Do the multiplications in 45b-44\times 71.
\frac{45b-3124}{3195}
Factor out \frac{1}{3195}.
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