−24 4/5−6 7/10
To subtract −24 4/5 from −6 7/10, we can write both numbers as improper fractions and then subtract them.
−24 4/5 = −(24*5 + 4)/5 = −(120 + 4)/5 = −124/5
−6 7/10 = −(6*10 + 7)/10 = −(60 + 7)/10 = −67/10
Now we can subtract:
−124/5 - (−67/10)
To simplify this expression, we need a common denominator. The least common multiple of 5 and 10 is 10. So, we'll multiply the numerator and denominator of the first fraction by 2.
−124/5 - (−67/10) = (−124 * 2)/(5 * 2) - (−67/10) = −248/10 + 67/10
Now that both fractions have the same denominator, we can subtract their numerators:
−248/10 + 67/10 = (−248 + 67)/10 = −181/10
Therefore, −24 4/5 - −6 7/10 = −181/10
To subtract the numbers -24 4/5 and -6 7/10, you need to find a common denominator for the fractions and then subtract the whole numbers separately. Here are the step-by-step instructions:
Step 1: Convert the mixed numbers to improper fractions.
-24 4/5 can be converted to -24 4/5 = -((24 × 5) + 4)/5 = -((120 + 4)/5) = -124/5.
-6 7/10 can be converted to -6 7/10 = -((6 × 10) + 7)/10 = -((60 + 7)/10) = -67/10.
Step 2: Find a common denominator for the fractions.
The common denominator for 5 and 10 is 10.
Step 3: Convert the fractions to have the same denominator.
-124/5 becomes -124 × 2/5 × 2 = -248/10.
-67/10 stays as -67/10.
Step 4: Subtract the fractions.
-248/10 - 67/10 = (-248 - 67)/10 = -315/10.
Step 5: Simplify the resulting fraction, if necessary.
-315/10 can be simplified to -31 5/10.
So, the answer to -24 4/5 - (-6 7/10) is -31 5/10.