What is 10/28+16/22?

How much is 1028 plus 1622. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 167154
  • 1 13154
  • 1.0844 (rounded to 4 decimals)

Step by step solution

Add

1028 + 1622 = 334308

  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 1028 and 1622 is 308. Now change the fractions into equivalent fractions with common denominator

    • 1028 + 1622
    • 10 * 1128 * 11 + 16 * 1422 * 14
    • 110308 + 224308
  2. Add

    • 110308 + 224308
    • 110 + 224308
    • 334308

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

Simplify

  • 334308
  • 167154
  • 1 13154
  1. Reduce fraction to its lowest terms

    • 334308
    • 334 ÷ 2308 ÷ 2
    • 167154

    The greatest common divisor of 334 and 308 is 2, the fraction 334308 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 167154 to mixed number

    • 167154
    • 1 13154

    167 divided by 154 is 1 with a remainder of 13