Convert the following fraction into decimal: 2437 500

The given fraction is 2437 500 . We shall use the equivalent fraction method to convert the given fraction into decimal. Steps to be followed in this method are: (i) Change the given fraction into an equivalent fraction with denominator 10 , 100 , 1000 , etc. (ii) Count the number of zeros in the denominator after 1 . Put the decimal in the numerator starting from right to left after as many digits as number of zeros. Thus, we have, 2437 500 = 2437 × 2 500 × 2 = 4874 1000 = 4 . 874 Therefore, the decimal form of the given fraction is 4 . 874

Convert the following fraction into decimal: 201 8

The given fraction is 201 8 . We shall convert the given fraction into a decimal by using the long division method. The following steps are involved in it. (i) Divide the numerator by the denominator till a non-zero remainder is left. (ii) Put a decimal point in the dividend as well as in the quotient. (iii) Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder. (iv) Divide again. (v) Keep on repeating step (iv) till we get the remainder as zero. Thus, to convert the fraction 201 8 into decimal, we shall divide 201 by 8 using the long division method. 25 . 125 8 201 . 000 - 16 41 ¯ - 40 10 - 8 ¯ 20 ¯ - 16 40 ¯ - 40 0 ¯ Here, the quotient obtained is 25 . 125 Hence, the decimal form of the given fraction is 25 . 125

Convert the following fraction into decimal: 315 6

The given fraction is 315 6 . We shall use the equivalent fraction method to convert the given fraction into decimal. Steps to be followed in this method are: (i) Change the given fraction into an equivalent fraction with denominator 10 , 100 , 1000 , etc. (ii) Count the number of zeros in the denominator after 1 . Put the decimal in the numerator starting from right to left after as many digits as number of zeros. Thus, we have, 315 6 = 315 ÷ 3 6 ÷ 3 = 105 2 = 105 × 5 2 × 5 = 525 10 = 52 . 5 Therefore, the decimal form of the given fraction is 52 . 5

Convert the following fraction into decimal: 15 17 20

The given fraction is 15 17 20 . We shall convert the given fraction into a decimal by using the long division method. The following steps are involved in it. (i) Convert the given mixed fraction into an improper fraction. (ii) Divide the numerator by the denominator till a non-zero remainder is left. (iii) Put a decimal point in the dividend as well as in the quotient. (iv) Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder. (v) Divide again. (vi) Keep on repeating step (v) till we get the remainder as zero. Thus, we have, 15 17 20 = 317 20 . Now, to convert the fraction 317 20 into decimal, we shall divide 317 by 20 using the long division method. 15 . 85 20 317 . 00 - 20 117 ¯ - 100 170 - 160 ¯ 100 ¯ - 199 0 ¯ Here, the quotient obtained is 15 . 85 Hence, the decimal form of the given fraction is 15 . 85

Convert the following fraction into decimal: 7 25

The given fraction is 7 25 . We shall use the equivalent fraction method to convert the given fraction into decimal. Steps to be followed in this method are: (i) Change the given fraction into an equivalent fraction with denominator 10 , 100 , 1000 , etc. (ii) Count the number of zeros in the denominator after 1 . Put the decimal in the numerator starting from right to left after as many digits as number of zeros. Thus, we have, 7 25 = 7 × 4 25 × 4 = 28 100 = 0 . 28 Therefore, the decimal form of the given fraction is 0 . 28

Convert the following fraction into decimal: 33 30

The given fraction is 33 30 . We shall convert the given fraction into a decimal by using the long division method. The following steps are involved in it. (i) Divide the numerator by the denominator till a non-zero remainder is left. (ii) Put a decimal point in the dividend as well as in the quotient. (iii) Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder. (iv) Divide again. (v) Keep on repeating step (iv) till we get the remainder as zero. Thus, to convert the fraction 33 30 into decimal, we shall divide 33 by 30 using the long division method. 1 . 1 30 33 . 0 - 30 30 ¯ - 30 0 ¯ Here, the quotient obtained is 1 . 1 Hence, the decimal form of the given fraction is 1 . 1

Convert the following fraction into decimal: 8 3 4

The given fraction is 8 3 4 . We shall use the equivalent fraction method to convert the given fraction into decimal. Steps to be followed in this method are: (i) Convert the mixed fraction into an improper fraction (ii) Change the given fraction into an equivalent fraction with denominator 10 , 100 , 1000 , etc. (iii) Count the number of zeros in the denominator after 1 . Put the decimal in the numerator starting from right to left after as many digits as number of zeros. Thus, we have, 8 3 4 = 35 4 = 35 × 25 4 × 25 = 875 100 = 8 . 75 Therefore, the decimal form of the given fraction is 8 . 75

Convert the following fraction into decimal: 9 4 5

The given fraction is 9 4 5 . We shall convert the given fraction into a decimal by using the long division method. The following steps are involved in it. (i) Convert the given mixed fraction into an improper fraction. (ii) Divide the numerator by the denominator till a non-zero remainder is left. (iii) Put a decimal point in the dividend as well as in the quotient. (iv) Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder. (v) Divide again. (vi) Keep on repeating step (v) till we get the remainder as zero. Thus, we have, 9 4 5 = 49 5 . Now, to convert the fraction 49 5 into decimal, we shall divide 49 by 5 using the long division method. 9 . 8 5 49 . 0 - 45 40 ¯ - 40 0 ¯ Here, the quotient obtained is 9 . 8 Hence, the decimal form of the given fraction is 9 . 8

E M B I B E

Explore Mathematics 6>Chapter 6 - Decimals>EXERCISE 6.3

Jagat Jitendra Matto Solutions for Chapter: Decimals, Exercise 5: EXERCISE 6.3

Author:Jagat Jitendra Matto

Jagat Jitendra Matto Mathematics Solutions for Exercise - Jagat Jitendra Matto Solutions for Chapter: Decimals, Exercise 5: EXERCISE 6.3

Attempt the free practice questions on Chapter 6: Decimals, Exercise 5: EXERCISE 6.3 with hints and solutions to strengthen your understanding. Explore Mathematics 6 solutions are prepared by Experienced Embibe Experts.