The correct option is B 514+12÷72
Let's evaluate each expression one by one by following the PEMDAS rule.
→12÷27+67
=12×72+67
=74+67
=7×7+6×44×7
Without solving further, we can observe that the denominator is a multiple of 7
we know that for a fraction to be terminating decimal its denominator should be multiple of 2 or 5.
Hence, the first expression will result in a non-terminating decimal number.
Let's check for option(b)
→514+12÷72
=514+12×27
=514+17
=5+2×114
=714
=12
The factors of the denominator are 2 and 1.
Hence, it will result in a terminating decimal number.