What is 7/29+18/30?

How much is 729 plus 1830. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 122145
  • 0.8414 (rounded to 4 decimals)

Step by step solution

Add

729 + 1830 = 732870

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

    Multiples of 29 are   29, 58, 87, 116, 145, 174, ..., 870 ....etc

    Multiples of 30 are   30, 60, 90, 120, 150, 180, ..., 870 ...etc

    The LCM of 29 and 30 is 870. So, the common denominator of 729 and 1830 is 870. Now change the fractions into equivalent fractions with common denominator

    • 729 + 1830
    • 7 * 3029 * 30 + 18 * 2930 * 29
    • 210870 + 522870
  2. Add

    • 210870 + 522870
    • 210 + 522870
    • 732870

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

Simplify

  • 732870
  • 122145
  1. Reduce fraction to its lowest terms

    • 732870
    • 732 ÷ 6870 ÷ 6
    • 122145

    The greatest common divisor of 732 and 870 is 6, the fraction 732870 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.