can someone please explain/show how to do this? im really stuck with fractions
5 1/3 + (-3 9/18)
thanks so much
9 / 18 = 1 / 2
3 9 / 18 = 3 1 / 2
3 * 18 = 54
1 / 3 = 18 / 54
1 / 2 = 27 / 54
5 1 / 3 + ( - 3 9 / 18 ) =
5 1 / 3 - 3 9 / 18 =
5 1 / 3 - 3 1 / 2
5 + 18 / 54 - ( 3 + 27 / 54 ) =
5 - 3 + 18 / 54 - 27 / 54 =
2 - 9 / 54 =
2 - 9 / ( 9 * 6 ) =
2 - 1 / 6 =
1 + 1 - 1 / 6 =
1 + 6 / 6 - 1 / 6 =
1 + 5 / 6 =
1 5 / 6
1st of all its easier if u turn the fractions to improper frac.
16/3- 63/18
then, u get the least common ddenominator which is 18
then,your equation should be
96/18- 63/18
then subtract since the 2nd fraction is negative.... and you get 33/18 or 1 and 5/6
hope this helped:)
Of course! I'd be happy to explain how to add these fractions step by step.
Step 1: Convert the mixed numbers to improper fractions.
To convert the mixed number 5 1/3 to an improper fraction, you multiply the whole number (5) by the denominator (3), which gives you 15. Then, add the numerator (1) to get 16. So 5 1/3 can be written as the improper fraction 16/3.
Similarly, to convert the mixed number -3 9/18 to an improper fraction, first multiply -3 (the whole number) by 18 (the denominator), which gives you -54. Then, add the numerator (9) to get -45. So -3 9/18 can be written as the improper fraction -45/18.
Step 2: Find a common denominator.
To add or subtract fractions, you need to have a common denominator. In this case, you can see that the denominators of 3 and 18 have a common multiple, which is 18. So 3 and 18 can both be expressed as 18.
Step 3: Adjust the fractions.
To adjust the fractions to have the common denominator of 18, you need to multiply the numerator and denominator of each fraction by a factor that makes their denominators equal to 18.
For 16/3, multiply the numerator (16) by 6 and the denominator (3) by 6 to get 96/18.
For -45/18, since the denominator is already 18, you don't need to adjust it.
Step 4: Add the fractions.
Now that both fractions have a common denominator of 18, you can add the numerators.
96/18 + (-45/18) = 96 - 45 / 18 = 51/18.
Step 5: Simplify (if needed).
To simplify the result, you can reduce the fraction to its simplest form. In this case, both the numerator and denominator are divisible by 3, so you divide them both by 3.
51/18 can be reduced to 17/6.
So, 5 1/3 + (-3 9/18) = 17/6.
I hope this explanation helps! Let me know if you have any further questions.