# Decomposing Fractions

Decomposing fractions involves breaking down a given fraction into smaller, simplified components, typically by expressing it as a sum of simpler fractions. This process facilitates a deeper understanding of the fractional representation and aids in mathematical operations. By dissecting fractions into their basic elements, learners gain insight into the underlying concepts of numerator and denominator relationships, paving the way for more efficient problem-solving and a comprehensive grasp of fraction manipulation.

Questions

- The total cost of 5 books, 6 pens and 3 calculators is $162. A pen and a calculator cost $29 and the total cost of a book and two pens is $22. Find the total cost of a book, a pen and a calculator?
- How do you reduce #96/108# in lowest terms?
- How do you subtract #\frac { 27} { 13} - \frac { 1} { 4}#?
- DeShawn has $53. He needs at least $76 to buy the jacket he wants. How much more money does he need for the jacket?
- How do you divide #67,396\div 123#?
- How do you evaluate #66\frac{2}{3}\times 240#?
- Of the 125 guests invited to a wedding, 104 attended the wedding. What percent of the invited guests attended the wedding?
- What is #1.6 -: .4#?
- A group of 266 persons consists of men, women, and children. There are four times as many men as children, and twice as many women as children. How many of each are there?
- How do you divide #\frac { 11} { 3} \div \frac { 1} { 10}#?
- How do you evaluate #30\div ( - 6) + ( - 28) \div 7#?
- Before beginning voice lessons, Elizabeth already knew how to sing 15 pieces, and she expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will Elizabeth need before she will be able to sing a total of 47 pieces?
- How do you simplify #[( - 72) \div ( - 2) ] ^ { 2} - ( - 7) \cdot ( - 11)#?
- Joanne has 9/10 yard of fabric that she wants to divide into 3 equal pieces. How long should each piece be?
- To whom does Fantine give Cosette in "Les Miserables"? Explain the details of the transaction. Why does she do this?
- In a poll two weeks before the Presidential election, 37% of the people said they would vote for the Democrat, 42% said they would vote for the Republican, and the rest were undecided. What percent were undecided?
- How do you divide #\frac { - 5} { 11}# using long division?
- The Cooking Club made some pies to sell during lunch. The cafeteria contributed three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 78 pieces to sell. How many pies did the club make?
- What is #24 + 16 -: 4[100-(15*3)]#?
- Lindsay bought 8 steaks at the grocery store. Each steak cost $5.27. About how much money did Lindsay spend for the steaks?