1) To find the total fraction of crosswords Melanie finished, add the fractions for Wednesday and Thursday:
- \( \frac{5}{6} + \frac{7}{10} \)
- Find a common denominator: 30
- \( \frac{5}{6} = \frac{25}{30} \), \( \frac{7}{10} = \frac{21}{30} \)
- \( \frac{25}{30} + \frac{21}{30} = \frac{46}{30} = \frac{23}{15} \)
- Answer: \( \frac{23}{15} \)
2) To find the total number of rows of vegetables Nancy planted, add the rows of beans and spinach:
- \( \frac{5}{8} + \frac{5}{12} \)
- Find a common denominator: 24
- \( \frac{5}{8} = \frac{15}{24} \), \( \frac{5}{12} = \frac{10}{24} \)
- \( \frac{15}{24} + \frac{10}{24} = \frac{25}{24} \)
- Answer: \( \frac{25}{24} \)
3) To find the total fraction of the two books Fred has read, add the fractions for each book:
- \( \frac{5}{12} + \frac{1}{12} = \frac{6}{12} = \frac{1}{2} \)
- Answer: \( \frac{1}{2} \)
4) To find the total number of buckets of lemons Fred and Mary picked, add their fractions:
- \( \frac{4}{9} + \frac{4}{9} = \frac{8}{9} \)
- Answer: \( \frac{8}{9} \)
5) To find the total fraction of laundry Tom did, add the fractions for Monday and Saturday:
- \( \frac{10}{11} + \frac{3}{11} = \frac{13}{11} \)
- Answer: \( \frac{13}{11} \)
6) To find how many weeks of allowance Alyssa has left, add the fractions of last week's and this week's allowance:
- \( \frac{3}{4} + \frac{7}{9} \)
- Find a common denominator: 36
- \( \frac{3}{4} = \frac{27}{36} \), \( \frac{7}{9} = \frac{28}{36} \)
- \( \frac{27}{36} + \frac{28}{36} = \frac{55}{36} \)
- Answer: \( \frac{55}{36} \)
7) To find the total fraction of chores Mike has done, add the fractions for house chores and yard chores:
- \( \frac{11}{12} + \frac{9}{11} \)
- Find a common denominator: 132
- \( \frac{11}{12} = \frac{121}{132} \), \( \frac{9}{11} = \frac{108}{132} \)
- \( \frac{121}{132} + \frac{108}{132} = \frac{229}{132} \)
- Answer: \( \frac{229}{132} \)
8) To find the total amount of pie Keith and Mary ate, add their fractions:
- \( \frac{1}{2} + \frac{1}{2} = 1 \)
- Answer: \( 1 \)
9) To find the total cups of milk Tom drank, add the fractions for breakfast and dinner:
- \( \frac{8}{9} + \frac{2}{5} \)
- Find a common denominator: 45
- \( \frac{8}{9} = \frac{40}{45} \), \( \frac{2}{5} = \frac{18}{45} \)
- \( \frac{40}{45} + \frac{18}{45} = \frac{58}{45} \)
- Answer: \( \frac{58}{45} \)
10) To find the total cups of tomatoes the recipe called for, add the fractions for chopped and diced tomatoes:
- \( \frac{11}{12} + \frac{7}{12} = \frac{18}{12} = \frac{3}{2} \)
- Answer: \( \frac{3}{2} \)
Parent Tip: Review the logic above to help your child master the concept of fraction word problems worksheets.
