find the value of 3^2/3×8^2/3
Answers
Answer:
Conversion a mixed number 3 3/
8
to a improper fraction: 3 3/8 = 3 3/
8
= 3 · 8 + 3/
8
= 24 + 3/
8
= 27/
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 8.
Three and three eighths is twenty-seven eighths
Subtract: 1/
2
- 27/
8
= 1 · 4/
2 · 4
- 27/
8
= 4/
8
- 27/
8
= 4 - 27/
8
= -23/
8
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(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half minus twenty-seven eighths = minus twenty-three eighths.
Multiple: 1/
3
* the result of step No. 2 = 1/
3
* (-23/
8
) = 1 · (-23)/
3 · 8
= -23/
24
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths.