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Q.

Find the reciprocal of https://lh6.googleusercontent.com/i-Wi9IxRkcix1h8D-jRr_06cN8tPfSUmKwFk4k0pyKo9rDHDHeu2VHgH0UiHvdcvzD-JtMl-Ob0otoEbQjjtTG94dyA6znnhOPmthnQnVJuwSrl7T-Iu-oUAl16xQiWB7S6N2Ilrhc2Y9ilneQJMOg


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a

37

b

https://lh5.googleusercontent.com/f1k_vxdqmgstyzqkYyZWFe1LOWrx-1uQIMYxpGR9qMFSqr6GJQz62qoSxC9UepnvAvpwVY2NClZk3aWQdbAWl-5aR3AflofTs6x4G8xPt1y-79bsohsBEmaiu1nVK77aE7ukrqLCdcoJnfi5S82Czw

c

https://lh6.googleusercontent.com/3xFS5e0MH0AXDhXDQEycR4H5lkn1OaLA8FTCol8VIVc5otLRtYxQblDXKnNb2t0fjhQi-bCyur4mUK9vyVIn3FpM7oT0w2H-pkTQhPttycmWIOf-PV97l17ZubJlaIaW5-ZICDG215h3UtTTSEXc-A

d

https://lh4.googleusercontent.com/JVZyJ6vDQz1MKIrFdRERT5ZudWLdYvXkpK1pqQa6pHgx831rRPP9-oytNV1RRxceCWAy9nI6smcBvYMmrVt1S8dkHgXOkhQC-fTcq5GEZM-B_nIoruxysa13vKY98sbTOv6hVUHrzNDqUSTOgyETVw

answer is D.

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Detailed Solution

Concept- The Latin word "reciprocus," which means "returning," is where the word "reciprocal" originated. Therefore, if we take the reciprocal of an inverted number, it yields its original value. It can also be calculated for fractions and decimal values and is also stated as the number raised to the power of -1. In mathematics, if you take the reciprocal twice, you will end up with the same number.
First convert the given mixed fraction into an improper fraction and then just change the numerator to the denominator and denominator to the numerator.
We are given the number https://lh5.googleusercontent.com/5_yluhL-9HH-qf8hjAWOa0Voh50F3p2vbuvPZWhRgpTT8xEs17FRKwQhfvUJ1rFQSuH6MKm0caINZakIV4xtdxtTy40eNoEzxwq3S1oHgrgUY_uQZGjyWM920pvhIxP7qycn4sf6E4rso1BsxeYzpghttps://lh4.googleusercontent.com/A6W8Ebh0acEqFbYTbZydK9_9lZHSg4Hsn1LMBApe1UqVlQ1B7d3SDxAYWwbEHKU8oV3USQ-AhExCKlrYvYAx9KJD9DPcG-dywUtMoix5e-tx4lb0MzODL4zvFKs4FWZg3vwrhwMuW-IwpNvkArOdegTherefore  we can write  https://lh3.googleusercontent.com/f70euJAbZIx9-WLvlOgDhEMrQmcXci9rgbpzWuIMr056BhHLS-sK2jPNqCK_kfUDXl6t4CUXBoB_cIVxNpvi1ZodHThQ0RidSPyxLduojEI2Nfj6drLuQ-F7tEu16OD8akPy_qQrh2tOQrceEfdzVAOn simplifying it, we will then get
https://lh5.googleusercontent.com/e9bbnIYXqAF847JJkpcBAw816AhGQ_L1D60vgIoCwIwp3529-19OMGnHOdvut9FeCF551fB2tcLjON5T_Zoyqd9t4Q1H_4y21sjeBdAk_GsNJnUZv8feuymelwpxWV4zalpCslfIOc6hP_P8uTACewthe reciprocal of https://lh6.googleusercontent.com/i-Wi9IxRkcix1h8D-jRr_06cN8tPfSUmKwFk4k0pyKo9rDHDHeu2VHgH0UiHvdcvzD-JtMl-Ob0otoEbQjjtTG94dyA6znnhOPmthnQnVJuwSrl7T-Iu-oUAl16xQiWB7S6N2Ilrhc2Y9ilneQJMOgis 37
Hence, the correct answer is 1) 37
 
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