Question

17/60/17/3+(5/2-21/3*5/7)*(13*5/26+1/2)

Answer 1

`\implies - (149)/(20) \\`

Explanation:

`( ( (17)/(60) )/(17) )/(3) + ( (5)/(2) - (21)/(3) * (5)/(7) )( (13 * 5)/(26) + (1)/(2) )\\`

According to the Bodmas rule,

• B stands for Bracket
• O stands for order
• D stands for Division
• M stands for Multiplication
• A stands for Addition
• S stands for Subtraction

According to the question,

`\implies ( ( (17)/(60) )/(17) )/(3) + ( (5)/(2) - (21)/(3) * (5)/(7) )( (13 * 5)/(26) + (1)/(2) ) \\`

`\implies \: ( ( (17)/(60) )/(17) )/(3) + ( (5)/(2) - (21 * 5)/(3 * 7) )( (65)/(26) + (1)/(2)) \\`

`\implies \: ( ( (17)/(60) )/(17) )/(3) + ( (5)/(2) - (105)/(21) )( (65)/(26) + (1)/(2)) \\`

`\implies \: ( ( (17)/(60) )/(17) )/(3) + ( ((21 * 5 )- (2 * 105))/(42) )( ((1 * 65 ) + (13 * 1))/(26) ) \\`

`\implies ( ( (17)/(60) )/(17) )/(3) + ( (105 - 210)/(42))( (65 + 13)/(26) ) \\`

`\implies ( ( (17)/(60) )/(17) )/(3) + ( - \frac {105}{42})( (78)/(26) ) \\`

`\implies ( ( (17)/(60) )/(17) )/(3) + ( - \frac {105 * 78}{42 * 26})\\`

`\implies ( ( (17)/(60) )/(17) )/(3) + ( - \frac {8190}{1092})\\`

`\implies ( ( (17)/(60) )/(17) )/(3) - \frac {8190}{1092}\\`

`\implies (17)/(60) * (3)/(17) - (8190)/(1092) \\`

`\implies (17 * 3)/(60 * 17) - (8190)/(1092) \\`

`\implies (51)/(1020) - (8190)/(1092) \\`

`\implies \: ((91 *51) -(85 * 8190) )/(92820) \\`

`\implies \: (4641 -696150 )/(92820) \\`

`\implies \: - (691509 )/(92820) \\`

`\implies \: - (691509 / 4641 )/(92820 / 4641) \\`

`\implies - (149)/(20) \\`