What is 5/22+21/7?

How much is 522 plus 217. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 7122
  • 3 522
  • 3.2273 (rounded to 4 decimals)

Step by step solution

Add

522 + 217 = 497154

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

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

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 154 ...etc

    The LCM of 22 and 7 is 154. So, the common denominator of 522 and 217 is 154. Now change the fractions into equivalent fractions with common denominator

    • 522 + 217
    • 5 * 722 * 7 + 21 * 227 * 22
    • 35154 + 462154
  2. Add

    • 35154 + 462154
    • 35 + 462154
    • 497154

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

Simplify

  • 497154
  • 7122
  • 3 522
  1. Reduce fraction to its lowest terms

    • 497154
    • 497 ÷ 7154 ÷ 7
    • 7122

    The greatest common divisor of 497 and 154 is 7, the fraction 497154 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.

  2. Convert improper fraction 7122 to mixed number

    • 7122
    • 3 522

    71 divided by 22 is 3 with a remainder of 5