Question

Without actually performing the long division, state whether 343/875 has terminating decimal
expansion or not.​

Answer 1

Answer:

395/10500 is non terminating decimal expansion

Step-by-step explanation:

to check when a given fraction has terminating decimal expansion, it's denominator should me of the form 2^m × 5^n

first the fraction must be in the simplest form

so given fraction would be of the form 79/2100 when both numerator and denominator are divided by 5

here 2100 is 2×2×3×5×5×7

which is of the form 2^2 × 5^2 × 3 × 7

10500 is not of the form 2^m × 5^n

so 79/2100 has non terminating decimal expansion

which is 395/10500 has non terminating decimal expansion

Step-by-step explanation: