Convert 4.7̅ into Fraction (p/q) Express the Decimal \(4.\overline{7}\) in the Form \( \frac{p}{q} \) Question: Express \(4.\overline{7}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 4.\overline{7} \] Multiply both sides by 10 (since one digit repeats): \[ 10x = 47.\overline{7} \] Subtract the first equation from the second: \[ 10x – […]
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Convert 125.3̅ into Fraction (p/q) Express the Decimal \(125.\overline{3}\) in the Form \( \frac{p}{q} \) Question: Express \(125.\overline{3}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 125.\overline{3} \] Multiply both sides by 10 (since one digit repeats): \[ 10x = 1253.\overline{3} \] Subtract the first equation from the second: \[ 10x –
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Convert 0.621̅ into Fraction (p/q) Express the Decimal \(0.\overline{621}\) in the Form \( \frac{p}{q} \) Question: Express \(0.\overline{621}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 0.\overline{621} \] Multiply both sides by 1000 (since three digits repeat): \[ 1000x = 621.\overline{621} \] Subtract the first equation from the second: \[ 1000x –
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Convert 0.54̅ into Fraction (p/q) Express the Decimal \(0.\overline{54}\) in the Form \( \frac{p}{q} \) Question: Express \(0.\overline{54}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 0.\overline{54} \] Multiply both sides by 100 (since two digits repeat): \[ 100x = 54.\overline{54} \] Subtract the first equation from the second: \[ 100x –
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Convert 0.37̅ into Fraction (p/q) Express the Decimal \(0.\overline{37}\) in the Form \( \frac{p}{q} \) Question: Express \(0.\overline{37}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 0.\overline{37} \] Multiply both sides by 100 (since two digits are repeating): \[ 100x = 37.\overline{37} \] Subtract the first equation from the second: \[ 100x
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Convert 0.4̅ into Fraction (p/q) Express the Decimal \(0.\overline{4}\) in the Form \( \frac{p}{q} \) Question: Express \(0.\overline{4}\) in the form \( \frac{p}{q} \). Solution: Let \[ x = 0.\overline{4} \] Multiply both sides by 10: \[ 10x = 4.\overline{4} \] Subtract the first equation from the second: \[ 10x – x = 4.\overline{4} –
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Express Decimals into Fractions (p/q) Express Each of the Following Decimals in the Form p/q Question: Express each of the following decimals in the form \( \frac{p}{q} \): (i) 0.39 (ii) 0.750 (iii) 2.15 Solution: (i) Convert 0.39 into p/q form \[ 0.39 = \frac{39}{100} \] This is already in simplest form. Answer: \( \frac{39}{100}
Express each of the following decimals in the form p/q. (i) 0.39 (ii) 0.750 (iii) 2.15 Read More »
Class 11th Maths – RD Sharma Chapter 9 : Value of Trigonometric Functions at Multiples and Submultiples of an angle – Exercise 9.1 Solutions (Step-by-Step Guide) Prove the following identities (1 – 27) : √((1 − cos 2x)/(1 + cos 2x)) = tan x Watch Solution sin 2x/(1 − cos 2x) = cot x
Class 11th Maths – RD Sharma Chapter 8 : Trigonometric Formulae – Very Short Answer Questions (VSAQs) Solutions (Step-by-Step Guide) If (cos α + cos β)² + (sin α + sin β)² = λ cos²( (α – β) / 2 ), write the value of λ. Watch Solution Write the value of sin π/12 sin 5π/12
Class 11th Maths – RD Sharma Chapter 8 : Trigonometric Formulae – Fill in the Blanks Type Questions (FBQs) Solutions (Step-by-Step Guide) The value of (sin 70° + cos 40°)/(cos 70° + sin 40°) is ………….. Watch Solution If tan(A + B) = p, tan(A – B) = q, then the value of tan 2A in