Evaluate:
1 + 5 * 3 / 2
Solution:
1 + 5(3) / 2
17 / 2 ===> ( Decimal: 8.5)
STEPS:
1 + 5(3) / 2
5(3) / 2
15 / 2 ===> 5(3) / 2
Multiply fractions:
a(b) / c
a * b / c
3 * 5 / 2
Multiply the numbers:
3 * 5 ===> 15
15 / 2
1 + 15 / 2
Convert Elements to Fractions:
1 * 2 / 2 + 15 / 2
Since Denominators are Equal; Combine the Fractions:
a / c ± b / c
a ± b / c
1 * 2 + 15 / 2
1 * 2 + 15 ===> 17
1 * 2 + 15
Multiply:
1 * 2 ===> 2
2 + 15
Add the numbers:
2 + 15
17
17 /2
Answer: 1 + 5 * 3 / 2 =======> 17 / 2 ( Decimal: 8.5)
Check:
1 +
(5)(3) /
2
?
=
17 /
2
8 1 / 2
8.5 = 8.5 =========>
True
Check solution: 17 / 2
17 / 2
Convert Improper Fractions to Mix Numbers:
17 / 2 =====> 8 1 / 2 (Decimal: 8.5).
Steps: Long Division
17 / 2; 8 Remainder 1
17 / 2
Write in long division format:
17 / 2
Divide:
17 by 2 to get 8
Multiply the Quotient digit, ( 8 ), by Divisor ( 2 ):
2 / 17 ====> 16 =====> 8
Subtract 16 from 17:
16 =====> 17 =======> 1
The solution for long division; 17 / 2 is 8 Remainder of 1:
8 Remainder 1
Convert to mix number:
Quotient ====> Remainder / Divisor
17 / 2 ====> 8 1 / 2
8 1 / 2 =====> 17 / 2 =====> 8 1 / 2 ===> 8.5
Hope that helps!!!!! : )
