Steeeeepz for 9 8\15 Plus 11 5\12
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What are Steepz? Why would a number need Steepz?
To add the fractions 9 8/15 and 11 5/12, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To convert 9 8/15 to an improper fraction, multiply the whole number (9) by the denominator (15), and add the numerator (8) to get the new numerator. The denominator remains the same.
9 8/15 = (9 * 15 + 8) / 15 = 143/15
To convert 11 5/12 to an improper fraction, multiply the whole number (11) by the denominator (12), and add the numerator (5) to get the new numerator. The denominator remains the same.
11 5/12 = (11 * 12 + 5) / 12 = 137/12
Step 2: Find a common denominator.
To add fractions, they need to have the same denominator. In this case, 15 and 12 are not multiples of each other. The least common multiple (LCM) of 15 and 12 is 60. So, we need to find equivalent fractions with a denominator of 60.
Step 3: Convert the fractions to have a common denominator.
To convert 143/15 to a fraction with a denominator of 60, multiply both the numerator and denominator by 4.
143/15 * 4/4 = 572/60
To convert 137/12 to a fraction with a denominator of 60, multiply both the numerator and denominator by 5.
137/12 * 5/5 = 685/60
Now, we have equivalent fractions with a common denominator of 60: 572/60 and 685/60.
Step 4: Add the fractions.
To add the fractions, simply add their numerators while keeping the common denominator.
572/60 + 685/60 = (572 + 685) / 60 = 1257/60
Step 5: Simplify the fraction, if needed.
The fraction 1257/60 can be simplified. Both the numerator and denominator can be divided by their greatest common divisor (GCD), which is 3.
1257/60 รท 3/3 = 419/20
So, 9 8/15 plus 11 5/12 equals 419/20 (or 20 19/20 as a mixed number).