47. Simplification of the following gives : 15% - 31/2-(12/5 × 5/8 + (7 + 1¾)] ×2
Answers
Step-by-step explanation:
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. (cx 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
13/4 = [(4 x 1) + 3]/4 = 7/4
The given equation can be simplified using BODMAS(Brackets of Division Multiplication Addition Subtraction)
15 1/2 -[12/5x 5/8+(7÷1 3/4)]×2 = 31/2 - [12/5 x 5/8+ (7 ÷7/4)] x 2
= 31/2 - [12/5
[Since, 7+
= 31/2 - [3/2
[Since, 12/5
= 31/2 - [11/2]
[Since, 3/2
= 31/2 - 11
[Since,
= (31-22)/2
= 9/2
x 5/8 + (7 x 4/7)] x 2
7/4 = 7 x 4/7]
+4] x 2
x 5/8 = 3/2 and 7 x 4/7 = 4]
x 2
+ 4 = 11/2]
[11/2] x 2 = 11]