5(5)/(12) -2(7)/(8)

Question

`5(5)/(12) -2(7)/(8)`

Answer 1

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61/24

Decimal Form:

2.5416

Mixed Number Form:

2 13/24

Explanation:

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{2 (13)/(24)}}}}}`

Explanation:

`\sf{5 (5)/(12) - 2 (7)/(8) }`

Convert the mixed number into improper fraction

`\longrightarrow \sf{ (5 * 12 + 5)/(12) - (8 * 2 + 7)/(8)}`

`\longrightarrow{ \sf{ (60 + 5)/(12) - (16 + 7)/(8) }}`

`\longrightarrow{ \sf{ (65)/(12) - (23)/(8)}}`

Take the L.C.M of 12 and 8

To find out the L.C.M , first of all find the prime factors of each numbers.

12 = 2 × 2 × 3

8 = 2 × 2 × 2

Take out the common prime factors : 2 and 2

Also, take out the remaining prime factors: 3 and 2

Multiply those all prime factors and obtain L.C.M

= 2 × 2 × 3 × 2 = 24

L.C.M. of 12 and 8 = 24

`\longrightarrow{ \sf{ (65 * 2 - 23 * 3)/(24) }}`

`\longrightarrow{ \sf{ (130 - 69)/(24)}}`

`\longrightarrow{ \sf{ (61)/(24)}}`

Convert the improper fraction into mixed number

`\longrightarrow{ \sf{2 (13)/(24)}}`

Hope I helped!

Best regards! :D