What is 16/2-17/21?

How much is 162 minus 1721. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 15121
  • 7 421
  • 7.1905 (rounded to 4 decimals)

Step by step solution

Subtract

162 - 1721 = 30242

  1. Find common denominator by finding the Least Common Multiple(LCM)

    Multiples of 2 are   2, 4, 6, 8, 10, 12, 14, 16, 18, ..., 42 ....etc

    Multiples of 21 are   21, 42 ...etc

    The LCM of 2 and 21 is 42. So, the common denominator of 162 and 1721 is 42. Now change the fractions into equivalent fractions with common denominator

    • 162 - 1721
    • 16 * 212 * 21 - 17 * 221 * 2
    • 33642 - 3442
  2. Subtract

    • 33642 - 3442
    • 336 - 3442
    • 30242

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • 30242
  • 15121
  • 7 421
  1. Reduce fraction to its lowest terms

    • 30242
    • 302 ÷ 242 ÷ 2
    • 15121

    The greatest common divisor of 302 and 42 is 2, the fraction 30242 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 15121 to mixed number

    • 15121
    • 7 421

    151 divided by 21 is 7 with a remainder of 4