write the fraction below as a sum or difference.
5x+7/4
5x + 7/4 can be written as the sum:
5x + 1 + 3/4
To write the fraction 5x + 7/4 as a sum or difference, we can rewrite it as two fractions with a common denominator. Let's start by expressing the whole number 7 as a fraction with a denominator of 4:
7 = 7/1
Now, we can rewrite the original fraction as follows:
5x + 7/4 = 5x + 7/1 * 1/4
Multiplying the fractions:
5x + 7/4 = 5x/1 + 7/4
Now, to combine the fractions into a single fraction, we need a common denominator. In this case, the common denominator is 4. So, we need to multiply the first fraction by 4/4 and the second fraction by 1/1:
5x/1 * 4/4 = 20x/4
7/4 * 1/1 = 7/4
Now our expression becomes:
5x + 7/4 = 20x/4 + 7/4
Finally, combining the fractions:
5x + 7/4 = (20x + 7)/4
Therefore, the fraction 5x + 7/4 can be expressed as the sum (20x + 7)/4.