What is 14/28+9/22?

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

  • 1011
  • 0.9091 (rounded to 4 decimals)

Step by step solution

Add

1428 + 922 = 280308

  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. Add

    • 154308 + 126308
    • 154 + 126308
    • 280308

    Add the numerators and place the sum over the common denominator.

Simplify

  • 280308
  • 1011
  1. Reduce fraction to its lowest terms

    • 280308
    • 280 ÷ 28308 ÷ 28
    • 1011

    The greatest common divisor of 280 and 308 is 28, the fraction 280308 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 28.