Given :
To find :
Solution :
multiply numerator and denominator by 8 we get
as we seen that the denominator is the power of 10 we get
☞ Fraction =
✭
◈ It as a fraction with denominator
So here we shall first divide 1000 by 125
➳
So now we have to multiply both numerator and denominator with 8
➝
So then the fraction becomes
➢
Verification
➠
Similarly,
Therefore they are equal!!
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Answers & Comments
Given :
To find :
Solution :
multiply numerator and denominator by 8 we get
as we seen that the denominator is the power of 10 we get
☞ Fraction =![\sf\dfrac{256}{1000} \sf\dfrac{256}{1000}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B256%7D%7B1000%7D)
✭
◈ It as a fraction with denominator![\sf 10^n \sf 10^n](https://tex.z-dn.net/?f=%5Csf%2010%5En)
So here we shall first divide 1000 by 125
➳![\sf \dfrac{1000}{125} \sf \dfrac{1000}{125}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B1000%7D%7B125%7D)
➳![\sf\red{8} \sf\red{8}](https://tex.z-dn.net/?f=%5Csf%5Cred%7B8%7D)
So now we have to multiply both numerator and denominator with 8
➝![\sf 32 \times 8 = 256 \sf 32 \times 8 = 256](https://tex.z-dn.net/?f=%5Csf%2032%20%5Ctimes%208%20%3D%20256)
➝![\sf 125 \times 8 = 1000 \sf 125 \times 8 = 1000](https://tex.z-dn.net/?f=%5Csf%20125%20%5Ctimes%208%20%3D%201000)
So then the fraction becomes
➢![\sf\orange{\dfrac{256}{1000} \sf\orange{\dfrac{256}{1000}](https://tex.z-dn.net/?f=%5Csf%5Corange%7B%5Cdfrac%7B256%7D%7B1000%7D)
Verification
➠![\sf\dfrac{256}{1000} \sf\dfrac{256}{1000}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B256%7D%7B1000%7D)
➠![\sf{0.256} \sf{0.256}](https://tex.z-dn.net/?f=%5Csf%7B0.256%7D)
Similarly,
➠![\sf \dfrac{32}{125} \sf \dfrac{32}{125}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B32%7D%7B125%7D)
➠![\sf{0.256} \sf{0.256}](https://tex.z-dn.net/?f=%5Csf%7B0.256%7D)
Therefore they are equal!!