To subtract a whole number by a fraction, let's first transform the whole number into a fraction with the same denominator as the fraction to be subtracted.
Given: 4 - 9/7
Step 1: Converting 4 into a fraction with the denominator of 7.
[tex]\text{ 4 x }\frac{7}{7}\text{ = }\frac{28}{7}[/tex]Step 2: Let's now proceed with the subtraction.
[tex]\text{ 4 - }\frac{9}{7}\text{ }\rightarrow\text{ }\frac{28}{7}\text{ - }\frac{9}{7}\text{ }\rightarrow\text{ }\frac{28\text{ - 9}}{7}\text{ = }\frac{19}{7}[/tex]Step 3: Let's convert 19/7 into a mixed number.
[tex]\frac{19}{7}\text{ = 2 }\frac{5}{7}[/tex]Therefore, the answer is 19/7 or 2 5/7.
