What is 10/6-4/14?

How much is 106 minus 414. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 2921
  • 1 821
  • 1.381 (rounded to 4 decimals)

Step by step solution

Subtract

106 - 414 = 5842

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

    Multiples of 6 are   6, 12, 18, 24, 30, 36, 42 ....etc

    Multiples of 14 are   14, 28, 42 ...etc

    The LCM of 6 and 14 is 42. So, the common denominator of 106 and 414 is 42. Now change the fractions into equivalent fractions with common denominator

    • 106 - 414
    • 10 * 76 * 7 - 4 * 314 * 3
    • 7042 - 1242
  2. Subtract

    • 7042 - 1242
    • 70 - 1242
    • 5842

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

Simplify

  • 5842
  • 2921
  • 1 821
  1. Reduce fraction to its lowest terms

    • 5842
    • 58 ÷ 242 ÷ 2
    • 2921

    The greatest common divisor of 58 and 42 is 2, the fraction 5842 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 2921 to mixed number

    • 2921
    • 1 821

    29 divided by 21 is 1 with a remainder of 8