Answer:
2 2/3 * 2 2/3 = 64/9 = 7 1/9 ≅ 7.1111111
Explanation:
The result:
2 2/3 * 2 2/3 = 64/
9
= 7 1/
9
≅ 7.1111111
Spelled result in words is sixty-four ninths (or seven and one ninth).
How do we solve fractions step by step?
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Multiple: 8/
3
* 8/
3
= 8 · 8/
3 · 3
= 64/
9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(64, 9) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight thirds multiplied by eight thirds is sixty-four ninths.
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