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(2)/(5)÷4=

25÷4= \frac{2}{5} \div 4=

Full solution

Q. 25÷4= \frac{2}{5} \div 4=
  1. Understand division of fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of 44 is 14\frac{1}{4}.
  2. Multiply fraction by reciprocal: Multiply the fraction (25)(\frac{2}{5}) by the reciprocal of 44 (14)(\frac{1}{4}).25×14=2×15×4\frac{2}{5} \times \frac{1}{4} = \frac{2 \times 1}{5 \times 4}
  3. Perform multiplication: Perform the multiplication.\newline(2×1)/(5×4)=2/20(2 \times 1) / (5 \times 4) = 2 / 20
  4. Simplify the fraction: Simplify the fraction. 220\frac{2}{20} can be simplified by dividing both numerator and denominator by 22. 220=110\frac{2}{20} = \frac{1}{10}