Convert 75 to a Roman numeral given that I=1, V=5, X=10, L=50, C=100, D=500, and M=1,000

We start with a total letter value of 75 that we want to work backwards with each letter until 0.

We want to build a Roman numeral term letter by letter as well, starting with nothing.

Dividing our current quantity of 75 by each Roman numeral Value, we need 1 of letter L

We piece that together with our Roman numeral(s) term of to get: + L = L

Since we needed 1 of the letter L, our total value of letters becomes: 1 * 50 = 50

Our new decreasing total now becomes: 75 - 50 = 25

Dividing our current quantity of 25 by each Roman numeral Value, we need 2 of letter X

We piece that together with our Roman numeral(s) term of L to get: L + XX = LXX

Since we needed 2 of the letter X, our total value of letters becomes: 2 * 10 = 20

Our new decreasing total now becomes: 25 - 20 = 5

Dividing our current quantity of 5 by each Roman numeral Value, we need 1 of letter V

We piece that together with our Roman numeral(s) term of LXX to get: LXX + V = LXXV

Since we needed 1 of the letter V, our total value of letters becomes: 1 * 5 = 5

Our new decreasing total now becomes: 5 - 5 = 0

Since our decreasing total now equals 0, we have our answer of