start at 6 2/3, subtract 1 1/4

6 2/3 - 1 1/4  Solutions  1) Subtract the whole numbers  6 - 1 = 5  2) Simplify fractions 2/3 and 1/4  ⇒ Since the denominators are different we have to make them same. To make the denominators same you have to multiply by the least common multiple  ≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ List out all multiples of each denominator, and find the first common one. 3 ⇒: 3,6,9,12 4 ⇒ : 4,8,12  The first common denominator of 3 and 4 is 12 so therefore the LCD of 2/3 and 1/4 is 12.  Both of the denominator are gonna be 12.  ⇒ Multiply 3 and 4 until they reach 12.  3 =  3 x 1 = 3 3 x 2 = 6  3 x 3 = 9  3 x 4 = 12  4 =  4 x 1 = 4  4 x 2 = 8  4 x 3 = 12 3 x 4 = 12  4 x 3 = 12  ≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ 1)  Make the denominators the same as the LCD. 2×4          1 x 3  ______ - ________   3×4        4 x 3  2) Simplify. Denominators are now the same [latex] \frac{8}{12} [/latex] - [latex] \frac{3}{12} [/latex] 3) Subtract the numerators  [latex] \frac{8-3}{12} [/latex] 5) Simplify  [latex] \frac{5}{12} [/latex]  ≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ Simplify  1) Whole number = 5  2) Fraction = [latex] \frac{5}{12} [/latex]   Add them together  5 [latex] \frac{5}{12} [/latex]