Using a number line, what is the approximate value of sqrt(19) (1 point)
4.13
O 4.25
O 4.5
O 4.38
4.38
What is −6
7/12 − 4 1/3?
To solve the equation −6 7/12 − 4 1/3, we first need to convert the mixed fractions into improper fractions.
-6 7/12 can be converted to an improper fraction by multiplying the denominator (12) with the whole number (-6) and adding the numerator (7). This gives us -79/12.
Similarly, 4 1/3 can be converted to an improper fraction by multiplying the denominator (3) with the whole number (4) and adding the numerator (1). This gives us 13/3.
Now, we can subtract the two fractions:
-79/12 - 13/3
To subtract fractions, we need to find a common denominator. In this case, the smallest number that both 12 and 3 divide into is 12. Therefore, we need to convert the fractions so that the denominators are both 12.
-79/12 can be converted to -395/60 by multiplying both the numerator and denominator by 5.
13/3 can be converted to 52/12 by multiplying both the numerator and denominator by 4.
Now, we can subtract the fractions:
-395/60 - 52/12
To subtract the fractions, we need to find a common denominator. Since the denominators are already the same, we can subtract the numerators:
(-395 - 52)/60 = -447/60
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:
(-447/3) / (60/3) = -149/20
Therefore, the value of −6 7/12 − 4 1/3 is approximately -149/20.
the answer is wrong
Apologies for the mistake in the previous response.
To solve the equation −6 7/12 − 4 1/3, we first need to convert the mixed fractions into improper fractions.
-6 7/12 can be converted to an improper fraction by multiplying the denominator (12) with the whole number (-6) and adding the numerator (7). This gives us -79/12.
Similarly, 4 1/3 can be converted to an improper fraction by multiplying the denominator (3) with the whole number (4) and adding the numerator (1). This gives us 13/3.
Now, we can subtract the two fractions:
-79/12 - 13/3
To subtract fractions, we need to find a common denominator. In this case, the smallest number that both 12 and 3 divide into is 12. Therefore, we need to convert the fractions so that the denominators are both 12.
-79/12 can be converted to -395/60 by multiplying both the numerator and denominator by 5.
13/3 can be converted to 52/12 by multiplying both the numerator and denominator by 4.
Now, we can subtract the fractions:
-395/60 - 52/12
To subtract the fractions, we need to find a common denominator. Since the denominators are already the same, we can subtract the numerators:
(-395 - 52)/60 = -447/60
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:
(-447/3) / (60/3) = -149/20
Therefore, the value of −6 7/12 − 4 1/3 is approximately -149/20.