Question

If 0.254 expressed as p/q ( HCF of p, q is 1) then what is the value of p + q ?
Please show calculations

Answer 1

Answer:

p = 127 and q= 500 (such that HCF of p and q is 1 )

Hence, p+q = 127+500 = 627

Step-by-step explanation:

Write 0.254 as $\frac{0.254}{1}$

Multiply both numerator and denominator by 10 for every number after the decimal point.

$\frac{0.254}{1}=\frac{0.254 \times 1000}{1 \times 1000}$

$\frac{0.254 \times 1000}{1 \times 1000}=\frac{254}{1000}$

When reduced further gives,

$\frac{254}{1000}=\frac{127}{500}$

Thus, On comparing the fraction with $\frac{p}{q}$ we get, p = 127 and q= 500 (such that HCF of p and q is 1 )

Hence, p+q = 127+500 = 627

Answer 2

Answer:

p = 127 and q= 500

p+q = 127+500 = 627

Step-by-step explanation:

If 0.254 expressed as p/q then we have to find the value of p+q

$0.254=\frac{0.254}{1}$

Multiply both numerator and denominator by 1000 for every number after the decimal point

$\frac{0.254}{1}\times \frac{1000}{1000}=\frac{254}{1000}$

In reduced fraction

$\frac{254}{1000}=\frac{127}{500}$

Thus, on comparing the fraction with $\frac{p}{q}$ we get, p = 127 and q= 500 (such that HCF of p and q is 1 )

Hence, p+q = 127+500 = 627