Evaluate the following please:
1) 8/9- 5/6
2) 7 1/0x5/8
3) 2/3%3/8
4) 6 x2/3
5) 31/3x5/2
6) 4 1/2 %1 3/8
I'm guessing you're using % for division. Not sure why.
when multiplying fractions, just multiply tops and bottoms, then simplify if necessary.
31/3 * 5/2 31*5 / 3*2 = 155/6
when dividing by a fraction, invert it and then multiply.
2/3%3/8 = 2/3 * 8/3 = 16/9
when adding fractions, find the common denominator, then just add the numerators.
8/9 - 5/6 = 16/18 - 15/18 = 1/18
thanks for the help oobleck
Sure! I'll evaluate each expression for you step by step.
1) 8/9 - 5/6
To subtract fractions, you need a common denominator. In this case, the common denominator is 18. Rewriting the fractions with the common denominator:
(8/9) - (5/6) = (16/18) - (15/18) = 1/18
2) 7 1/0 x 5/8
First, we should simplify the mixed number to an improper fraction. 7 1/0 = (7 * 8 + 1)/8 = 57/8
Now we can multiply the fractions:
(57/8) x (5/8) = 285/64
3) 2/3 % 3/8
The symbol "%" represents the modulo operation, which calculates the remainder from division. To evaluate this expression, we can convert the fractions to decimals and perform the modulo operation on them.
(2/3) % (3/8) = 0.666... % 0.375 = 0.666... - 0.375 = 0.291...
4) 6 x 2/3
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the same denominator.
6 x (2/3) = (6 * 2)/3 = 12/3 = 4
5) 31/3 x 5/2
Multiply the numerators together and the denominators together:
(31/3) x (5/2) = (31 x 5) / (3 x 2) = 155/6
6) 4 1/2 % 1 3/8
Again, we have the modulo operation, so we'll convert the mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1)/2 = 9/2
1 3/8 = (1 * 8 + 3)/8 = 11/8
Performing the modulo operation on these fractions:
(9/2) % (11/8) = 4.5 % 1.375 = 0.375
So, the evaluations are:
1) 8/9 - 5/6 = 1/18
2) 7 1/0 x 5/8 = 285/64
3) 2/3 % 3/8 = 0.291...
4) 6 x 2/3 = 4
5) 31/3 x 5/2 = 155/6
6) 4 1/2 % 1 3/8 = 0.375