What is 3 divided by 1.72 and show work?

Answer 1

1.7442

Answer 2

Make the divisor a whole number by multiplying by 10 enough times and multiple the numerator by 10 the same number of times. The division is exactly the same:

1.72 x 10 x 10 = 1.72 x 100 = 172

⇒ 3 x 10 x 10 = 3 x 100 = 300

⇒ 3 ÷ 1.72 = 300 ÷ 172

= 132/43

≈ 1.744

Alternatively, working in "fraction form" - to make equivalent fractions multiply or divide both numerator and denominator by the same amount:

3 ÷ 1.72 = 3/1.72

= (3 x 100)/(1.72 x 100)

= 300/172

= (75 x 4)/(43 x 4)

= 75/43 (= 75 ÷ 43)

= 132/43

≈ 1.744