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Express the value of 35.63тИТ47.058+10.36тИТ24.28+5.316├Ч5 as a vulgar fraction.
14721тАЛ
112529тАЛ
14831тАЛ
25813тАЛ
112529тАЛ
Calculate the decimal parts separately if possible, or group positive and negative numbers. Note that 5.316 * 5 = 26.58.
Expression: 35.63 - 47.058 + 10.36 - 24.28 + 5.316 * 5
V=AтИТB+CтИТD+(E├ЧF)
Calculate the decimal parts separately if possible, or group positive and negative numbers. Note that 5.316 * 5 = 26.58.
Ensure the order of operations (BODMAS) is followed, meaning the multiplication 5.316 * 5 must be completed before the additions and subtractions.
Solve multiplication
Follow BODMAS rule: multiply 5.316 by 5.
5.316├Ч5=26.58
Group positive and negative numbers
The expression becomes 35.63 - 47.058 + 10.36 - 24.28 + 26.58. Sum the positives and negatives separately.
(35.63+10.36+26.58)тИТ(47.058+24.28)=72.57тИТ71.338
Final subtraction
Subtract the sum of negatives from the sum of positives.
72.57тИТ71.338=1.232
Convert to vulgar fraction
Write 1.232 as a fraction: 1232/1000. Simplify by dividing numerator and denominator by 8.
11000232тАЛ=112529тАЛ
B is correct because the final calculated value of the expression is 1.232, which is equivalent to 1 and 29/125.
Always identify the multiplication first in expressions containing mixed operators to avoid arithmetic errors.
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