What is 14/28-9/22?

How much is 1428 minus 922. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 111
  • 0.0909 (rounded to 4 decimals)

Step by step solution

Subtract

1428 - 922 = 28308

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

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 308 ....etc

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154, ..., 308 ...etc

    The LCM of 28 and 22 is 308. So, the common denominator of 1428 and 922 is 308. Now change the fractions into equivalent fractions with common denominator

    • 1428 - 922
    • 14 * 1128 * 11 - 9 * 1422 * 14
    • 154308 - 126308
  2. Subtract

    • 154308 - 126308
    • 154 - 126308
    • 28308

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

Simplify

  • 28308
  • 111
  1. Reduce fraction to its lowest terms

    • 28308
    • 28 ÷ 28308 ÷ 28
    • 111

    The greatest common divisor of 28 and 308 is 28, the fraction 28308 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 28.