What is 22/26+18/24?

How much is 2226 plus 1824. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 8352
  • 1 3152
  • 1.5962 (rounded to 4 decimals)

Step by step solution

Add

2226 + 1824 = 498312

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

    Multiples of 26 are   26, 52, 78, 104, 130, 156, ..., 312 ....etc

    Multiples of 24 are   24, 48, 72, 96, 120, 144, 168, ..., 312 ...etc

    The LCM of 26 and 24 is 312. So, the common denominator of 2226 and 1824 is 312. Now change the fractions into equivalent fractions with common denominator

    • 2226 + 1824
    • 22 * 1226 * 12 + 18 * 1324 * 13
    • 264312 + 234312
  2. Add

    • 264312 + 234312
    • 264 + 234312
    • 498312

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

Simplify

  • 498312
  • 8352
  • 1 3152
  1. Reduce fraction to its lowest terms

    • 498312
    • 498 ÷ 6312 ÷ 6
    • 8352

    The greatest common divisor of 498 and 312 is 6, the fraction 498312 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 8352 to mixed number

    • 8352
    • 1 3152

    83 divided by 52 is 1 with a remainder of 31