Which decimal part of 225 is 153

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There are two cases that concern the denominator when we add ordinary fractions:

  • A. The fractions have the same denominator;
  • B. The fractions have different denominators.

A. How do I add ordinary fractions with the same denominator?

  • Just add up the fractions' counters.
  • The denominator of the resulting fraction will be the common denominator of the fractions.
  • Shorten the resulting fraction.

An example of adding ordinary fractions with the same denominator. Explanations

  • 3/18 + 4/18 + 5/18 = (3 + 4 + 5)/18 = 12/18;

  • We just added the numerators of the fractions: 3 + 4 + 5 = 12;
  • The denominator of the resulting fraction is: 18;
  • The resulting fraction is shortened as follows: 12/18 = (12 ÷ 6)/(18 ÷ 6) = 2/3.

  • How to shorten the general fraction 12/18?

B. If you want to add fractions with different denominators, you need to name them the same so that their denominators match. how is it done?

  • 1. Shorten the fractions.

  • 2. Calculate the least common multiple (lcm) of all new denominators of the fractions:

  • 3. Calculate the expansion number for each fraction:

    • The expansion number is the non-zero number used to multiply the numerator and denominator of each fraction to bring all of the fractions to the same common denominator.
    • Divide the least common multiple (LCM) calculated above by the denominator of each fraction to find the expansion number of each fraction.
  • 4. Expand each fraction:

    • Multiply the numerator and denominator of each fraction by its expanded number.
    • At this point, fractions are brought to the same denominator.
  • 5. Add the fractions:

    • To add all of the fractions, just add all of the fractions' counters.
    • The resulting fraction has as its denominator the least common multiple, lcm, which was calculated above.
  • 6. Shorten the resulting fraction until it is completely shortened if necessary.

... read the rest of this article here: How do I add common fractions?