3/7 x 14/15=2/5
1 1/3x 5/8=5/6
1 2/9x 1 1/2=2 1/3
can you please check the above problems and let me know if I got the correct answers in simplest form.
The first two are right.
11/9 * 3/2 33/18 = ?
33/18=11/6=1 8/6=14/6=7/3=2 1/3
I have to do this in simplest form
How do you get 2 1/3 out of 33/18?
Would the answer be 1 7/18?
I got somewhat confused on this one.
No. Take a break and come back to this problem a little later.
I will come back to this one in bit.
To check if the answers are correct, we can simplify each expression and see if it matches the provided answer. Let's go through each problem:
1) 3/7 x 14/15:
To multiply fractions, we multiply the numerators together (3 x 14 = 42), and the denominators together (7 x 15 = 105). So, the result is 42/105.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 21.
Dividing 42 by 21 gives us 2, and dividing 105 by 21 gives us 5.
So, the simplified fraction is 2/5, which matches the provided answer.
2) 1 1/3 x 5/8:
To multiply a mixed number with a fraction, we first convert the mixed number to an improper fraction.
Converting 1 1/3 to an improper fraction: 1 x 3 = 3, then add the numerator of the fraction (3 + 1 = 4). The denominator remains the same, so we have 4/3.
Next, we multiply 4/3 by 5/8.
Multiplying the numerators (4 x 5 = 20) and the denominators (3 x 8 = 24), we get 20/24.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4.
Dividing 20 by 4 gives us 5, and dividing 24 by 4 gives us 6.
So, the simplified fraction is 5/6, which matches the provided answer.
3) 1 2/9 x 1 1/2:
Again, we first convert the mixed numbers to improper fractions.
Converting 1 2/9 to an improper fraction: 1 x 9 = 9, then add the numerator of the fraction (9 + 2 = 11). The denominator remains the same, so we have 11/9.
Converting 1 1/2 to an improper fraction: 1 x 2 = 2, then add the numerator of the fraction (2 + 1 = 3). The denominator remains the same, so we have 3/2.
Next, we multiply 11/9 by 3/2.
Multiplying the numerators (11 x 3 = 33) and the denominators (9 x 2 = 18), we get 33/18.
To simplify this fraction, we again divide both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 33 by 3 gives us 11, and dividing 18 by 3 gives us 6.
So, the simplified fraction is 11/6, or 1 5/6.
The provided answer is 2 1/3, so it seems there might be an error in the multiplication or simplification.
Therefore, the correct answers, in simplest form, are:
1) 3/7 x 14/15 = 2/5
2) 1 1/3 x 5/8 = 5/6
3) 1 2/9 x 1 1/2 = 11/6