translate into a variable expression.then simplify the expression.the sum of a number y divided by four and the number.
(y/4) +y
simplified: 5/4y
4y
Translate to a variable expression.
Four multiplied by the difference of two and a number
To translate the given statement into a variable expression, we need to break it down and represent each part in terms of mathematical symbols:
1. "The sum of a number y divided by four" can be written as y/4.
2. "The number" itself can be represented as y.
Combining these parts, we get the variable expression: y/4 + y.
Now, let's simplify the expression by combining like terms. To do this, we need to find a common denominator for y/4 and y. The common denominator is 4. Therefore, we can rewrite y as 4y/4.
Now, the expression becomes: (4y/4) + (y/4).
Combining the numerators, we get: (4y + y) / 4.
Simplifying the numerator, we have: 5y / 4.
Therefore, the simplified expression for "the sum of a number y divided by four and the number" is 5y/4.