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Step 1) Convert mixed numbers into improper fractions. If relevant, the fraction part can be simplified at this stage. It is possible to perform this addition by separating the whole number part from the fraction; adding the whole numbers, adding the fractions and then combining the two operations. However, it is considered good practice to convert the complete term.
Step 2) Convert the fractions into equivalent fractions having the same denominator. The new denominator is usually the Lowest Common Multiple of existing denominators but if this is difficult to assess then use the product of the existing denominators.
46/9 + 37/12 = 42/9 + 43/12 = (42 x 4)/36 + (43 x 3)/36 = (168 + 129)/36 = 297/36
Step 3) Simplify the sum (if possible) and convert to a mixed number.
297/36 = 33/4 = 81/4
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How do you work out 3 10ths plus 5 12ths?
3/10 plus 5/12 is the same as 18/60+25/60 = 43/60
What is 2 9ths plus 1 3rd?
2/9 + 1/3 = 2/9 + 3/9 = 5/9
What is 11 12ths plus 3 4ths?
11/12 + 3/4=11/12 + 9/12= 20/12=5/3
What is 87 9ths in a mixed number?
87 9ths in a mixed number = 92/3
Five and three fourths plus three and five twelves?
Make it simpler to use.5 and 3/4ths plus3 and 5/12thsThree fourths and five twelveths need to have a common denominator. Since 4 goes into 12 three times you need to change the first fraction to 12ths. 3 times 3 is 9 and 3 times 4 is 12. So 9/12ths is the same as 3/4ths.Now you can add them. Do the whole numbers first. 5 plus 3 equals 8.Then do the fractions. Add the top numbers together, 9 plus 5 and leave the 12 alone. This gives you 14/12ths. Since the top number is greater than the bottom number, we know that the number is greater than 1 and must be reduced. 12/12 is the same as one whole and that would leave two left over. This would give us 1 and 2/12ths or reduced further 1 and 1/68 plus 1 1/6 equals 9 1/6th.The answer is nine and one sixth.
