Answer:9/2 (or) 4.5 Step-by-step explanation:Conversion of mixed fraction into improper fraction: A mixed fraction is in the form A b/c Step 1: Multiply the denominator by the whole number. c x A Step 2: Add the result to the numerator. (c x A) + b Step 3: The result in step 2 is the new numerator. Step 4: The denominator remains the same Step 5: Result = [(c x A) + b]/c 15 1/2 = [(2 x 15) + 1]/2 = 31/2 1 3/4 = [(4 x 1) + 3]/4 = 7/4 The given equation can be simplified using BODMAS(Brackets of Division Multiplication Addition Subtraction) 15 1/2 -[12/5× 5/8+(7÷1 3/4)]×2 = 31/2 – [12/5 x 5/8 + (7 ÷ 7/4)] x 2 = 31/2 – [12/5 x 5/8 + (7 x 4/7)] x 2 [Since, 7 ÷ 7/4 = 7 x 4/7] = 31/2 – [3/2 + 4] x 2 [Since, 12/5 x 5/8 = 3/2 and 7 x 4/7 = 4] = 31/2 – [11/2] x 2 [Since, 3/2 + 4 = 11/2] = 31/2 – 11 [Since, [11/2] x 2 = 11] = (31 – 22)/2 = 9/2 Reply
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Answer:9/2 (or) 4.5
Step-by-step explanation:Conversion of mixed fraction into improper fraction:
A mixed fraction is in the form A b/c
Step 1: Multiply the denominator by the whole number. c x A
Step 2: Add the result to the numerator. (c x A) + b
Step 3: The result in step 2 is the new numerator.
Step 4: The denominator remains the same
Step 5: Result = [(c x A) + b]/c
15 1/2 = [(2 x 15) + 1]/2 = 31/2
1 3/4 = [(4 x 1) + 3]/4 = 7/4
The given equation can be simplified using BODMAS(Brackets of Division Multiplication Addition Subtraction)
15 1/2 -[12/5× 5/8+(7÷1 3/4)]×2 = 31/2 – [12/5 x 5/8 + (7 ÷ 7/4)] x 2
= 31/2 – [12/5 x 5/8 + (7 x 4/7)] x 2
[Since, 7 ÷ 7/4 = 7 x 4/7]
= 31/2 – [3/2 + 4] x 2
[Since, 12/5 x 5/8 = 3/2 and 7 x 4/7 = 4]
= 31/2 – [11/2] x 2
[Since, 3/2 + 4 = 11/2]
= 31/2 – 11
[Since, [11/2] x 2 = 11]
= (31 – 22)/2
= 9/2