What should be subtracted from 33/40 to get 11/40

General
1

what should be subtracted from 33/40 to get 11/40

2

What should be subtracted from 33/40 to get 11/40?

Answer:

To find out what should be subtracted from (\frac{33}{40}) to get (\frac{11}{40}), we need to solve the following equation:

[
\frac{33}{40} - x = \frac{11}{40}
]

Here, (x) is the number we need to subtract from (\frac{33}{40}). To isolate (x), we’ll follow these steps:

  1. Move (x) to the other side of the equation:

    Add (x) to both sides:

    [
    \frac{33}{40} = \frac{11}{40} + x
    ]

  2. Subtract (\frac{11}{40}) from both sides to solve for (x):

    [
    \frac{33}{40} - \frac{11}{40} = x
    ]

  3. Perform the subtraction:

    Subtract the numerators since the denominators are the same:

    [
    \frac{33 - 11}{40} = \frac{22}{40}
    ]

  4. Simplify the fraction:

    The greatest common divisor (GCD) of 22 and 40 is 2. So, divide both the numerator and the denominator by 2:

    [
    \frac{22}{40} = \frac{22 \div 2}{40 \div 2} = \frac{11}{20}
    ]

Thus, (\frac{11}{20}) should be subtracted from (\frac{33}{40}) to get (\frac{11}{40}).