What fraction is 2/3 of 3/4 ?
and 12-m = 5 2/3 ?
Thank you for your help.
(2/3) * (3/4) = 6/12 = 1/2
12-m = 5 2/3
-m = 5 2/3 - 12
-m = -6 1/3
m = 6 1/3
2/5 = 12/n
1/12
6 1/3
To find the fraction 2/3 of 3/4, you can use the following steps:
Step 1: Multiply the numerators (top numbers) together: 2 * 3 = 6.
Step 2: Multiply the denominators (bottom numbers) together: 3 * 4 = 12.
Step 3: The result is the fraction 6/12.
Step 4: Simplify the fraction if possible. In this case, both the numerator and denominator are divisible by 6. Divide both 6 and 12 by 6, resulting in 1/2.
Therefore, 2/3 of 3/4 is equal to 1/2.
Regarding the equation 12 - m = 5 2/3, we need to isolate the variable 'm'.
Step 1: Start by subtracting 5 from both sides of the equation: 12 - 5 = 5 2/3 - 5. This simplifies to 7 = 2/3.
Step 2: Convert the mixed number 2/3 to an improper fraction. Multiplying the whole number (2) by the denominator (3) and adding the numerator (2) gives us 2 * 3 = 6 + 2 = 8. So 2/3 can be written as 8/3.
Step 3: Rewrite the equation: 7 = 8/3.
Step 4: To get rid of the fraction, multiply both sides of the equation by the reciprocal of 8/3, which is 3/8. This gives us 7 * 3/8 = (7 * 3)/(8 * 1) = 21/8.
Step 5: Now we have: 21/8 = m.
Therefore, the value of m in the equation 12 - m = 5 2/3 is 21/8.