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6. $4\\frac{1}{5}-2\\frac{1}{4}=$

Question

  1. $4\frac{1}{5}-2\frac{1}{4}=$

Explanation:

Step1: Convert to improper fractions

$4\frac{1}{5}=\frac{21}{5}$, $2\frac{1}{4}=\frac{9}{4}$

Step2: Find common denominator (20)

$\frac{21}{5}=\frac{21\times4}{5\times4}=\frac{84}{20}$, $\frac{9}{4}=\frac{9\times5}{4\times5}=\frac{45}{20}$

Step3: Subtract the fractions

$\frac{84}{20}-\frac{45}{20}=\frac{39}{20}$

Step4: Convert to mixed number

$\frac{39}{20}=1\frac{19}{20}$

Answer:

$1\frac{19}{20}$