What is 16/15+9/16?

How much is 1615 plus 916. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 391240
  • 1 151240
  • 1.6292 (rounded to 4 decimals)

Step by step solution

Add

1615 + 916 = 391240

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

    Multiples of 15 are   15, 30, 45, 60, 75, 90, 105, ..., 240 ....etc

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

    The LCM of 15 and 16 is 240. So, the common denominator of 1615 and 916 is 240. Now change the fractions into equivalent fractions with common denominator

    • 1615 + 916
    • 16 * 1615 * 16 + 9 * 1516 * 15
    • 256240 + 135240
  2. Add

    • 256240 + 135240
    • 256 + 135240
    • 391240

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

Simplify

  • 391240
  • 1 151240
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 391 and 240 is 1, the fraction 391240 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 391240 to mixed number

    • 391240
    • 1 151240

    391 divided by 240 is 1 with a remainder of 151