To determine if the equation is true, we need to evaluate both sides.
Let's first calculate the left side of the equation:
10 1/3 divided by 3 2/5
Convert both mixed numbers into improper fractions:
10 1/3 = (10x3 + 1)/3 = 31/3
3 2/5 = (3x5 + 2)/5 = 17/5
Dividing 31/3 by 17/5:
(31/3) ÷ (17/5) = (31/3) x (5/17) = 155/51
Now let's calculate the right side of the equation:
3/31 x 2/17 = (3x2)/(31x17) = 6/527
The left side of the equation is 155/51, while the right side is 6/527. Therefore, the equation 10 1/3 divided by 3 2/5 = 3/31 x 2/17 is not true.
Which of the following equations is true?(1 point)
10 1/3 divided by 3 2/5= 3/31 x 2/17 is this true?
7 answers
6 2/5 divide by 3 1/6= 32/5 x 6/19
To determine if the equation is true, we need to evaluate both sides.
Let's first calculate the left side of the equation:
6 2/5 divided by 3 1/6
Convert both mixed numbers into improper fractions:
6 2/5 = (6x5 + 2)/5 = 32/5
3 1/6 = (3x6 + 1)/6 = 19/6
Dividing 32/5 by 19/6:
(32/5) ÷ (19/6) = (32/5) x (6/19) = 192/95
Now let's calculate the right side of the equation:
32/5 x 6/19 = (32x6)/(5x19) = 192/95
The left side of the equation is 192/95, and the right side is also 192/95.
Therefore, the equation 6 2/5 divided by 3 1/6 = 32/5 x 6/19 is true.
Let's first calculate the left side of the equation:
6 2/5 divided by 3 1/6
Convert both mixed numbers into improper fractions:
6 2/5 = (6x5 + 2)/5 = 32/5
3 1/6 = (3x6 + 1)/6 = 19/6
Dividing 32/5 by 19/6:
(32/5) ÷ (19/6) = (32/5) x (6/19) = 192/95
Now let's calculate the right side of the equation:
32/5 x 6/19 = (32x6)/(5x19) = 192/95
The left side of the equation is 192/95, and the right side is also 192/95.
Therefore, the equation 6 2/5 divided by 3 1/6 = 32/5 x 6/19 is true.
What is the quotient when 6 3/8 is divided by 3?
To divide a mixed number by a whole number, convert the mixed number to an improper fraction and then perform the division.
Step 1: Convert 6 3/8 to an improper fraction.
6 3/8 = (6 * 8 + 3) / 8 = 51/8
Step 2: Divide 51/8 by 3.
(51/8) ÷ 3 = 51/8 * 1/3 = (51 * 1) / (8 * 3) = 51/24
The quotient is 51/24, which can be simplified to 17/8.
Step 1: Convert 6 3/8 to an improper fraction.
6 3/8 = (6 * 8 + 3) / 8 = 51/8
Step 2: Divide 51/8 by 3.
(51/8) ÷ 3 = 51/8 * 1/3 = (51 * 1) / (8 * 3) = 51/24
The quotient is 51/24, which can be simplified to 17/8.
What is the quotient of 6÷3 1/5 ?
To divide a whole number by a mixed number, convert the mixed number to an improper fraction and then perform the division.
Step 1: Convert 3 1/5 to an improper fraction.
3 1/5 = (3 * 5 + 1) / 5 = 16/5
Step 2: Divide 6 by 16/5.
6 ÷ (16/5) = 6 * (5/16) = (6 * 5) / 16 = 30/16
The quotient is 30/16, which can be simplified to 15/8.
Step 1: Convert 3 1/5 to an improper fraction.
3 1/5 = (3 * 5 + 1) / 5 = 16/5
Step 2: Divide 6 by 16/5.
6 ÷ (16/5) = 6 * (5/16) = (6 * 5) / 16 = 30/16
The quotient is 30/16, which can be simplified to 15/8.