What is 7/29-18/30?

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

  • - 52145
  • 0.3586 (rounded to 4 decimals)

Step by step solution

Subtract

729 - 1830 = - 312870

  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. Subtract

    • 210870 - 522870
    • 210 - 522870
    • - 312870

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • - 312870
  • - 52145
  1. Reduce fraction to its lowest terms

    • - 312870
    • - 312 ÷ 6870 ÷ 6
    • - 52145

    The greatest common divisor of 312 and 870 is 6, the fraction - 312870 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.