How too divide 0.14 by 1.44 with work shown for it?

Answer 1

To divide by a decimal the divisor needs to be converted into a whole number. The easiest way to do this is to multiply by a power of 10 (in this case 10^2 = 100) and as the same time multiply the dividend by the same power of 10. Then divide as normal (via short/long division).

→ 0.14 ÷ 1.44 = (0.14 × 100) ÷ (1.44 × 100) = 14 ÷ 144 = 0.097222... ≈ 0.0972

The answer can be left as a fraction: 14/144 = (2×7)/(2×72) = 7/72

As a division can be written as a fraction, what has been done is that an equivalent fraction with a whole number denominator has been made and then that fraction has been simplified and/or converted to a decimal.