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### MEAP Preparation - Grade 4 Mathematics1.36 More Fraction Problems

 The fractional part of a collection is determined by dividing the collection into subgroups equal to the number representing the denominator of the fraction. We then take the number of subgroups equal to the number representing the numerator of the fraction. A fraction can be expressed as a division and vice-versa. A fraction written as a combination of a whole number and a proper fraction is called a mixed number. To generate equivalent fractions of any given fraction, we proceed as follows: Multiply the numerator and denominator by the same number (other than 0) or Divide the numerator and denominator by their common factor (other than 1), if any. The two fractions are equivalent if the product of numerator of the first and denominator of the second is equal to the product of the denominator of the first and numerator of the second. A fraction is in its lowest term, if the numerator and denominator have no common factor other than 1. Of the two fractions having the same denominator, the one with greater numerator is greater. Of the two fractions having the same numerator, the one with greater denominator is smaller. Adding and Subtracting Fractions: Read the problems carefully. If the denominators are same, add or subtract the numerators and write the answer. If the denominators are different, they are made common by finding LCM. Example: 9/4 - 3/4 Since the denominators are same, the numerators are subtracted. 9/4 - 3/4 = 6/4 Answer: 6/4 Example: 1/5 + 1/3 Since the denominators are different, find LCM of 5 and 3. LCM of 5 and 3 is 15. 1/5 x 15/15 = 3/15 1/3 x 15/15 = 5/15 Answer: 8/15 Directions: Answer the following questions. Also write at least 5 examples of your own for fraction operations: addition, subtraction, multiplication, and division of fractions.
 Q 1: 3 2/5 = 3 + ___2/52/43/5 Q 2: Which of the following fractions are equivalent?6/9 and 2/312/18 and 6/123/4 and 18/30 Q 3: There are 360 students in a school. 3/4 of them are boys and rest are girls. How many boys are there in the school?36027090 Q 4: If the numerator is equal to the denominator the fraction is ____improperproper Q 5: Reduce the fraction 15/18 to its simplest form.6/55/85/6 Q 6: If a fraction is more than 1, it is called a (an) ___ fraction.improperproper Q 7: In a proper fraction, numerator is less than the denominator. In an improper fraction the numerator is ___ than the denominator.lessergreater Q 8: Change 2 5/8 into improper fraction.20/821/818/21 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!
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