Step 1 ) Convert mixed number to improper fraction.
[tex] \displaystyle\ 4 \frac{2}{7} [/tex]
↓
[tex] \displaystyle\frac{30}{7} [/tex]
Step 2 ) Change uncommon denominators to common denominators.
[tex] \displaystyle\frac{30}{7} * \frac{2}{2} = \frac{30}{14} [/tex]
Step 3 ) Insert new fraction into equation.
[tex] \displaystyle\frac{30}{7} - \frac{3}{14} [/tex]
↓
[tex] \displaystyle\frac{30}{14} - \frac{3}{14} [/tex]
Step 4 ) Subtract the numerators.
[tex] \displaystyle\frac{30}{14} - \frac{3}{14} [/tex]
↓
[tex] \displaystyle\frac{57}{14} [/tex]
Bonus Step ) Convert to mixed fraction.
[tex] \displaystyle\frac{57}{14} [/tex]
↓
[tex] \displaystyle\ 4 \frac{1}{14} [/tex]
The mixed fraction is now in simplest form, so the answer is...
[tex] \displaystyle\frac{57}{14} [/tex]
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- Marlon Nunez
