Add −1310 +(−4215)
To add −1310 and (−4215), we simply combine the two numbers:
−1310 + (−4215) = −5525
Add −1 3/10 +(−4 2/15)
To add −1 3/10 and (−4 2/15), we need to convert the mixed numbers to improper fractions first.
−1 3/10 = -11/10
−4 2/15 = -62/15
Now, we can add the two fractions:
-11/10 + (-62/15)
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 10 and 15 is 30.
Now, we can rewrite the fractions with the common denominator of 30:
-11/10 = -33/30
-62/15 = -124/30
Now, we can add the fractions:
-33/30 + (-124/30) = -157/30
Thus, −1 3/10 + (−4 2/15) = -157/30
Reduce it
To reduce the fraction -157/30, we need to find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.
The GCD of 157 and 30 is 1.
Dividing -157 and 1 by the GCD:
-157 ÷ 1 = -157
30 ÷ 1 = 30
Therefore, the reduced form of -157/30 is -157/30.
Add −1 3/10 +(−4 2/15).(1 point)
Responses
−5 13/30
negative 5 Start Fraction 13 over 30 End Fraction
−5 1/5
negative 5 Start Fraction 1 over 5 End Fraction
−5 1/6
negative 5 Start Fraction 1 over 6 End Fraction
−2 5/6
To add −1 3/10 and (−4 2/15), we need to find a common denominator. The least common multiple (LCM) of 10 and 15 is 30.
Now, we can rewrite the mixed numbers as improper fractions:
−1 3/10 = -13/10
−4 2/15 = -62/15
Now, we can add the fractions:
-13/10 + (-62/15)
To add fractions with different denominators, we need to find a common denominator, which in this case is 30:
-13/10 = -39/30
-62/15 = -124/30
Now, we can add the fractions:
-39/30 + (-124/30) = -163/30
To convert the improper fraction -163/30 back to a mixed number, we divide the numerator by the denominator:
-163 ÷ 30 = -5 with a remainder of -13
Thus, the sum of −1 3/10 and (−4 2/15) is −5 13/30.
Add −1 2/7+(3 1/4).
To add −1 2/7 and 3 1/4, we need to convert the mixed numbers to improper fractions first.
−1 2/7 = -9/7
3 1/4 = 13/4
Now, we can add the two fractions:
-9/7 + 13/4
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 7 and 4 is 28.
Now, we can rewrite the fractions with the common denominator of 28:
-9/7 = -36/28
13/4 = 91/28
Now, we can add the fractions:
-36/28 + 91/28 = 55/28
Therefore, −1 2/7 + (3 1/4) = 55/28.