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]
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