5/6 + 1/11 of [3⅓ - 4 {1 7/12 - (3/8 + 5/6 ) } ]
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Answer: 1
Step-by-step explanation:
5/6 + 1/11 of [3⅓ - 4 {1 7/12 - (3/8 + 5/6 ) } ]
First add 3/8 + 5/6
= 29/24
5/6 + 1/11 of [3⅓ - 4 {1 7/12 - (29/24) } ]
then convert 1 7/12 into improper fraction
= 19/12
5/6 + 1/11 of [3⅓ - 4 {19/12 - (29/24) } ]
subtract 29/24 from 19/12
= 3/8
5/6 + 1/11 of [3⅓ - 4 {3/8} ]
then multiple 4 by 3/8
= 3/2
5/6 + 1/11 of [3⅓ - 3/2 ]
then convert 3 1/3 into improper fraction
= 10/3
5/6 + 1/11 of [10/3 - 3/2 ]
then subtract 3/2 from 10/3
= 11/ 6
5/6 + 1/11 of [11/6]
then multiply 1/11 by 11/6
= 1/6
5/6 + 1/6
then add 5/6 and 1/6
= 6/6
= 1
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