Can you pls check these:
3/8 * 2/5 =
i got: 3/20
1/4 of 4/5
i got: 1/5
5/6 of 30/1
i got: 5
2 7/8 * 4/5
i got: 2 3/10
All are correct except for this:
5/6 of 30/1 = 150/6 = 25
sorry i meant 25 but i did it this way
5/6 of 30/1
5/6 * 30/1 6 goes into 30 5 times
becomes 5/1 * 5/1 = 25
thanks for you help
You're welcome.
To check the calculations, we will perform the calculations step by step:
1. 3/8 * 2/5:
To multiply fractions, we multiply the numerators together and the denominators together. So, we have:
(3 * 2) / (8 * 5) = 6/40. However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
6/40 = 3/20.
So, your calculation of 3/8 * 2/5 as 3/20 is correct.
2. 1/4 of 4/5:
To find 1/4 of a fraction, we divide it by 4. So, we have:
(4/5) / 4 = 4/5 * 1/4 = (4 * 1) / (5 * 4) = 4/20. Simplifying the fraction, we get:
4/20 = 1/5.
So, your calculation of 1/4 of 4/5 as 1/5 is correct.
3. 5/6 of 30/1:
To find 5/6 of a fraction, we multiply it by 5/6. So, we have:
(30/1) * (5/6) = (30 * 5) / (1 * 6) = 150/6. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6:
150/6 = 25/1.
So, your calculation of 5/6 of 30/1 as 25 is correct.
4. 2 7/8 * 4/5:
To multiply a mixed number by a fraction, we convert the mixed number to an improper fraction, then perform the multiplication. So, we have:
2 7/8 = (2 * 8 + 7) / 8 = 23/8.
Now, we can multiply the fractions:
(23/8) * (4/5) = (23 * 4) / (8 * 5) = 92/40. Simplifying the fraction, we get:
92/40 = 2 12/40.
However, in order to fully simplify the fraction, we need to divide both the numerator and the denominator by their greatest common divisor, which is 4. Simplifying further, we have:
2 12/40 = 2 3/10.
So, your calculation of 2 7/8 * 4/5 as 2 3/10 is correct.