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
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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
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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
\(\frac{8}{12}\) - \(\frac{3}{12}\)
3) Subtract the numerators
\(\frac{8-3}{12}\)
5) Simplify
\(\frac{5}{12}\)
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Simplify
1) Whole number = 5
2) Fraction = \(\frac{5}{12}\)
Add them together
5 \(\frac{5}{12}\)