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While subtracting 4 from 13−3, the resultant value is:
13−53
13−55
13−51
13−54
13−55
Express the integer 4 as a fraction with the same denominator as the given value, so 4=134×13=1352, then subtract the numerators: −3−52=−55.
A value of -3/13 is provided, and the task is to subtract 4 from this value.
Result=ba−c=ba−(c×b)
Express the integer 4 as a fraction with the same denominator as the given value, so 4=134×13=1352, then subtract the numerators: −3−52=−55.
Many students mistakenly calculate 4−(−133) instead of (−133)−4, resulting in the incorrect sign or value.
Setup the subtraction
Subtract 4 from the fraction 13−3 as follows:
13−3−4
Convert the integer to a common denominator
To subtract the numbers, write 4 as a fraction with denominator 13: 4=134×13=1352.
13−3−1352
Combine the numerators
Since the denominators are now equal, subtract the numerators: −3−52=−55.
13−3−52=13−55
B is correct because the result of the calculation (−133)−4 is −1355.
Understanding how to convert integers to fractions is essential in algebra for solving linear equations involving rational numbers.
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