Answer:
=1.875
Explanation:
Add: 1/
2
+ 1/
4
= 1 · 2/
2 · 2
+ 1/
4
= 2/
4
+ 1/
4
= 2 + 1/
4
= 3/
4
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half plus one quarter is three quarters.
Exponentiation: No. 1 ^ 2 = 3/
4
^ 2 = 32/
42
= 9/
16
In other words - three quarters raised to the power of squared is nine sixteenths.
Multiple: No. 2 * 2 = 9/
16
* 2 = 9 · 2/
16 · 1
= 18/
16
= 9 · 2/
8 · 2
= 9/
8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 16) = 2. In the following intermediate step, cancel by a common factor of 2 gives 9/
8
.
In other words - nine sixteenths multiplied by two is nine eighths.
Add: 3/
4
+ the result of step No. 3 = 3/
4
+ 9/
8
= 3 · 2/
4 · 2
+ 9/
8
= 6/
8
+ 9/
8
= 6 + 9/
8
= 15/
8
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators