Question

 Find the approximate value of \(46.63-\left(4+\dfrac{1}{4+\dfrac{1}{4}}\right)-\left(2+\dfrac{1}{2+\dfrac{1}{2}}\right)\)
1. 44
2. 42
3. 46
4. 40

Answer 1

Correct Answer - Option 4 : 40

Calculation:

\(46.63-\left(4+\dfrac{1}{4+\dfrac{1}{4}}\right)-\left(2+\dfrac{1}{2+\dfrac{1}{2}}\right)\)

\(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaGinaiaaiA % dacaGGUaGaaGOnaiaaiodacqGHsislcaGGOaGaaGinaiabgUcaRmaa % laaabaGaaGymaaqaamaalaaabaGaaGymaiaaiEdaaeaacaaI0aaaaa % aacaGGPaGaeyOeI0IaaiikaiaaikdacqGHRaWkdaWcaaqaaiaaigda % aeaadaWcaaqaaiaaiwdaaeaacaaIYaaaaaaacaGGPaaaaa!46D5! ⇒ 46.63 - (4 + \frac{1}{{\frac{{17}}{4}}}) - (2 + \frac{1}{{\frac{5}{2}}})\)⇒ 46.63 - {4 + (4/17)} - {2 + (2/5)}

⇒ 46.63 – (72/17) – (12/5)

⇒ 46.60 – 4.23 – 2.4

⇒ 46.60 – 4.2 - 2.4

⇒ 46.60 – 6.60

⇒ 40

∴ 40 is the required approximate value .