What is 16/16+19/30?

How much is 1616 plus 1930. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4930
  • 1 1930
  • 1.6333 (rounded to 4 decimals)

Step by step solution

Add

1616 + 1930 = 392240

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

    Multiples of 16 are   16, 32, 48, 64, 80, 96, 112, ..., 240 ....etc

    Multiples of 30 are   30, 60, 90, 120, 150, 180, ..., 240 ...etc

    The LCM of 16 and 30 is 240. So, the common denominator of 1616 and 1930 is 240. Now change the fractions into equivalent fractions with common denominator

    • 1616 + 1930
    • 16 * 1516 * 15 + 19 * 830 * 8
    • 240240 + 152240
  2. Add

    • 240240 + 152240
    • 240 + 152240
    • 392240

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

Simplify

  • 392240
  • 4930
  • 1 1930
  1. Reduce fraction to its lowest terms

    • 392240
    • 392 ÷ 8240 ÷ 8
    • 4930

    The greatest common divisor of 392 and 240 is 8, the fraction 392240 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 8.

  2. Convert improper fraction 4930 to mixed number

    • 4930
    • 1 1930

    49 divided by 30 is 1 with a remainder of 19