evaluate {1/2)^3-(1/4)^3}×2^5
Answers
Answer:
1/3 + 2/4 + 1/2 = 4/
3
= 1 1/
3
≅ 1.3333333
Spelled result in words is four thirds (or one and one third).
How do you solve fractions step by step?
Add: 1/
3
+ 2/
4
= 1 · 4/
3 · 4
+ 2 · 3/
4 · 3
= 4/
12
+ 6/
12
= 4 + 6/
12
= 10/
12
= 2 · 5/
2 · 6
= 5/
6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, , cancel by a common factor of 2 gives 5/
6
.
In words - one third plus two quarters = five sixths.
Add: the result of step No. 1 + 1/
2
= 5/
6
+ 1/
2
= 5/
6
+ 1 · 3/
2 · 3
= 5/
6
+ 3/
6
= 5 + 3/
6
= 8/
6
= 2 · 4/
2 · 3
= 4/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 2) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 2 = 12. In the next intermediate step, , cancel by a common factor of 2 gives 4/
3
.
In words - five sixths plus one half = four third
Answer:
7/2 = 3.5
Step-by-step explanation:
(1/2)³ = 1/8
(1/4)³ = 1/64
2⁵ = 32
{1/2)^3-(1/4)^3}×2^5 = (1/8 - 1/64) ×32
= (8-1)/64 ×32
= 7/64 ×32
= 7/2
_______________
32×2 = 64