To subtract fractions, we need a common denominator. The least common denominator (LCD) of 4 and 5 is 20. We can rewrite the fractions with the LCD:
\[\frac{3}{4} - \frac{1}{5} = \frac{3 \cdot 5}{4 \cdot 5} - \frac{1 \cdot 4}{5 \cdot 4}\]
Simplifying the numerators and denominators:
\[= \frac{15}{20} - \frac{4}{20}\]
Now that we have a common denominator, we can subtract the fractions:
\[\frac{15}{20} - \frac{4}{20} = \frac{15-4}{20}\]
Simplifying the numerator:
\[= \frac{11}{20}\]
So, $\frac{3}{4}-\frac{1}{5} = \frac{11}{20}$.
\frac{3}{4}-\frac{1}{5}
13 answers
Simplify: `\sqrt{\frac{25}{64}}`.
To simplify the expression, we can simplify the numerator and denominator separately, and then take the square root of the simplified fraction.
First, we simplify the numerator, which is 25. Since $\sqrt{25} = 5$, the numerator simplifies to 5.
Next, we simplify the denominator, which is 64. Since $\sqrt{64} = 8$, the denominator simplifies to 8.
Now, we have $\sqrt{\frac{25}{64}} = \frac{5}{8}$.
Therefore, $\sqrt{\frac{25}{64}}$ simplifies to $\frac{5}{8}$.
First, we simplify the numerator, which is 25. Since $\sqrt{25} = 5$, the numerator simplifies to 5.
Next, we simplify the denominator, which is 64. Since $\sqrt{64} = 8$, the denominator simplifies to 8.
Now, we have $\sqrt{\frac{25}{64}} = \frac{5}{8}$.
Therefore, $\sqrt{\frac{25}{64}}$ simplifies to $\frac{5}{8}$.
Which expression best represents the following statement? The product of a 6 and a number x.
The expression that best represents the statement "The product of 6 and a number x" is $6x$.
#4. Which expression best represents the following statement?
The sum of 11 and three times
a number n.
The sum of 11 and three times
a number n.
The expression that best represents the statement "The sum of 11 and three times a number n" is $11 + 3n$.
Name the property that is illustrated by the statement below:
5\ +\ \left(6\ +\ 3\right)\ =\ \left(5\ +\ 6\right)\ +\ 3
5\ +\ \left(6\ +\ 3\right)\ =\ \left(5\ +\ 6\right)\ +\ 3
The property illustrated by the statement
$5 + (6 + 3) = (5 + 6) + 3$
is the Associative Property of Addition.
$5 + (6 + 3) = (5 + 6) + 3$
is the Associative Property of Addition.
Evaluate the expression `5b-ac` when `a\ =\ -4`, `b\ =2`, and `c=0.5`
To evaluate the expression `5b-ac` when `a = -4`, `b = 2`, and `c = 0.5`, we substitute these values into the expression:
`5b - ac`
`= 5(2) - (-4)(0.5)`
`= 10 - (-2)`
`= 10 + 2`
`= 12`
Therefore, `5b - ac` equals 12 when `a = -4`, `b = 2`, and `c = 0.5`.
`5b - ac`
`= 5(2) - (-4)(0.5)`
`= 10 - (-2)`
`= 10 + 2`
`= 12`
Therefore, `5b - ac` equals 12 when `a = -4`, `b = 2`, and `c = 0.5`.
Evaluate the expression `5x^{2}+2y` when `x=-3` and
I apologize, but it seems like you have encountered an error in your question. You have provided the value for `x` but you haven't provided the value for `y`. Could you please provide the value of `y` so that we can evaluate the expression `5x^2 + 2y`?
1 answer