Decimal & Fractions

Decimal & Fractions : Decimal & Fractions

Learning Objectives : Learning Objectives 1. How to convert decimal into fractions. 2. How to deal with fraction of the remainder. 3. How to compare the fractions.

Q1 : What is the fractional value of 0.54545454…? : Q1 : What is the fractional value of 0.54545454…?

Slide 4 : Answer is 6/11

Q2: What is the fractional value of 0.91666….? : Q2: What is the fractional value of 0.91666….?

Slide 6 : Answer is 11/12

Q3: What is the fractional value of 0.6818181…? : Q3: What is the fractional value of 0.6818181…?

Slide 8 : Answer is 675/990 = 15/22

Q4:After spending 1/5th of his income a person has Rs. 40 with him. Find his total income. : Q4:After spending 1/5th of his income a person has Rs. 40 with him. Find his total income.

Slide 10 : Answer is Rs. 50.

Q5: Ram spends 30% of his income, then he spends 50% of his income, if he still has Rs. 175 with him. Find his total income. : Q5: Ram spends 30% of his income, then he spends 50% of his income, if he still has Rs. 175 with him. Find his total income.

Slide 12 : Answer is Rs. 500 × Answer is Rs. 875.

Q6 : A spends 6/7th of his income on food, 4/5th of the remaining on clothes, 2/3rd of the remaining on education. If she still has Rs. 105 with her, find her total income. : Q6 : A spends 6/7th of his income on food, 4/5th of the remaining on clothes, 2/3rd of the remaining on education. If she still has Rs. 105 with her, find her total income.

Slide 14 : Answer is 11025

Q7 : X spends 7/9th of his income, then he spends 4/7th of the remaining. If he still has Rs. 20 with him. Find his total income. : Q7 : X spends 7/9th of his income, then he spends 4/7th of the remaining. If he still has Rs. 20 with him. Find his total income.

Slide 16 : Answer is Rs. 210

Q8 : Which of the following fractions is the greatest: 21/23,19/21,17/19,47/53. : Q8 : Which of the following fractions is the greatest: 21/23,19/21,17/19,47/53.

Slide 18 : 21/23 is the greatest.

Q9: A number N is shown as 0.pqpqpqpq …. What is the smallest integer, with which it should be multiplied so that it becomes an integer? : Q9: A number N is shown as 0.pqpqpqpq …. What is the smallest integer, with which it should be multiplied so that it becomes an integer?

Slide 20 : 99 is the answer, you think but it is Can’t be determined.

Slide 21 : Q10. D is a recurring decimal of type 0.a1a2a1a2a1a2a1a2 …. Here a1 & a2 are single digit numbers between 0 & 9, both inclusive. This number D, when multiplied by which of the following no. gives a product which is an integer (CAT 2000)?1. 18 2. 108 3. 198 4. 288

Slide 22 : Answer is 3rd option.

Q11: M & N are 2 different digits. 2 two-digit no. are formed by using these digits at each of the places. If sum of these 2 no. happens to be a perfect square, what is the value of M + N? : Q11: M & N are 2 different digits. 2 two-digit no. are formed by using these digits at each of the places. If sum of these 2 no. happens to be a perfect square, what is the value of M + N?

Slide 24 : Answer is 11

Q12 : Arun has some apples. He gives ½ of apples & then half an apple to A. Then ½ of remaining apples and then half an appleto B & then to C, D & E. After that he is left with 5 apples. Find total apples. : Q12 : Arun has some apples. He gives ½ of apples & then half an apple to A. Then ½ of remaining apples and then half an appleto B & then to C, D & E. After that he is left with 5 apples. Find total apples.

Slide 26 : Answer is 191 apples

Q12(a): What shall be the answer, if after giving half of the apples, he gives one apple? : Q12(a): What shall be the answer, if after giving half of the apples, he gives one apple?

Slide 28 : Answer is 222 apples

Slide 29 : THANK YOU