Question

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

Answer 1

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

`(8)/(12)` -
`(3)/(12)`

3) Subtract the numerators

`(8-3)/(12)`

5) Simplify

`(5)/(12)`

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Simplify

1) Whole number = 5
2) Fraction =
`(5)/(12)`

Add them together

5
`(5)/(12)`