RD Sharma Solutions Class 6 Decimals Exercise 7.4

RD Sharma Solutions Class 6 Chapter 7 Exercise 7.4

RD Sharma Class 6 Solutions Chapter 7 Ex 7.4 PDF Free Download

Exercise 7.4

Question 1

Express the following fractions as decimals:

i) \(\frac{23}{10}\)

2310 = 20+310 = 2010+310 = 2+310 = 2.3

ii) \(\frac{139}{100}\)

139100= 10+30+9100 = 100100+30100+9100 = 1+310+9100 = 1.39

iii) \(\frac{4375}{1000}\)

43751000 = 4000+300+70+51000 = 40001000+3001000+701000+51000 = 4+310+7100+51000 = 4.375

iv) \(12\frac{1}{2}\)

1212 = 12+12 = 12+1(52)(5) = 12+510 = 12.5

v) \(75\frac{1}{4}\)

7514 = 75+14 = 75+1(254)(25) = 75+25100 = 75.25

vi) \(25\frac{1}{8}\)

2518 = 25+1(1258)(125) = 25+1251000 = 25.125

vii) \(18\frac{3}{24}\)

18324= 18+324 =18+18 =18+125(1125)(8) = 18+1251000 = 18.125

viii) \(\frac39{7}{35}\)

39735 = 39+735 = 39+15 = 39+1(25) (2) = 39+210 = 39.2

ix) \(\frac15{1}{25}\)

15125 =15+125 = 15+1(1)(425)(4) = 15+4100 = 15.04

  1. \(\frac{111}{250}\)

111250 = 111(4250)(4) = 4441000 = 0.444

Question 2

Express the following decimals as fractions in the lowest form:

i) 0.5 = \(\frac{5}{10}\) = \(\frac{1}{2}\)

ii) 2.5 = \(\frac{25}{10}\) = \(\frac{5}{2}\)

iii) 0.60 = \(\frac{60}{100}\) = \(\frac{3}{5}\)

iv) 0.18 = \(\frac{18}{100}\) = \(\frac{9}{50}\)

v) 5.25 = \(\frac{525}{100}\) = \(\frac{21}{4}\)

vi) 7.125 = \(\frac{7125}{1000}\) = \(\frac{201}{8}\)

vii) 15.004 = \(\frac{15004}{1000}\) = \(\frac{3751}{250}\)

viii) 20.375 = \(\frac{20375}{1000}\) = \(\frac{163}{8}\)

ix) 600.75 = \(\frac{60075}{100}\) =\(\frac{2403}{14}\)