Whats 12 8/15 - 7 + 7/15 +15 in the simplest form
To simplify the expression, we must first convert all the mixed numbers to improper fractions.
12 8/15 = ((15 * 12) + 8) / 15 = (180 + 8) / 15 = 188/15
7/15 remains the same.
15 can be written as 15/1.
Now, we can add all the fractions together:
188/15 - 7/1 + 7/15 + 15/1
To add these fractions, we need to find a common denominator. The least common multiple of 15 and 1 is 15.
Converting all the fractions to have a denominator of 15:
(188 * 1)/ (15 * 1) - (7 * 15)/ (1 * 15) + (7 * 1)/ (15 * 1) + (15 * 15)/ (1 * 15)
= 188/15 - 105/15 + 7/15 + 225/15
Now, we can combine the fractions:
= (188 - 105 + 7 + 225) / 15
= 315/15
= 21
So, 12 8/15 - 7 + 7/15 + 15 simplifies to 21.
1 1/2 - 3/4
To simplify 1 1/2 - 3/4, we need to convert the mixed number into an improper fraction and then subtract the fractions.
1 1/2 can be written as (2 * 1 + 1) / 2 = 3/2.
Now we can subtract the fractions:
3/2 - 3/4
To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Converting all the fractions to have a denominator of 4:
(3 * 2)/(2 * 2) - (3 * 1)/(4 * 1)
= 6/4 - 3/4
Now, we can subtract the numerators:
= (6 - 3) / 4
= 3/4
So, 1 1/2 - 3/4 simplifies to 3/4.
-12 - (-6)
To simplify -12 - (-6), we can rewrite the double negative as addition:
-12 + 6
Now, we can subtract the numbers:
-12 + 6 = -6
Therefore, -12 - (-6) simplifies to -6.
-1/4 + -3/5
To simplify -1/4 + -3/5, we need to find a common denominator for the fractions. The least common multiple of 4 and 5 is 20.
Converting the fractions to have a denominator of 20:
(-1 * 5)/(4 * 5) + (-3 * 4)/(5 * 4)
= -5/20 - 12/20
Now, we can add the fractions:
= (-5 - 12) / 20
= -17/20
So, -1/4 + -3/5 simplifies to -17/20.
5-9
To simplify 5 - 9, we simply subtract the two numbers:
5 - 9 = -4
Therefore, 5 - 9 simplifies to -4.
I've cheated on my work so much, I don't know what's going on in class or how to do anything. How do I get back on track?
It's understandable that you're feeling overwhelmed and unsure about how to proceed. Here are some steps you can take to get back on track:
1. Acknowledge and accept responsibility: Recognize that cheating may have provided a temporary solution, but it ultimately hinders your ability to truly understand the material. Taking ownership of your actions is an important first step.
2. Seek help from your teacher/professor: Be honest with your teacher or professor about your current struggles. Ask for clarification on the topics you're finding difficult. They are there to support you and can provide guidance on how to catch up.
3. Attend extra help sessions or tutoring: Many schools offer extra help sessions or tutoring services. Take advantage of these resources to get the assistance and guidance you need.
4. Form study groups: Collaborate with classmates who have a better understanding of the material. Working together can help clarify concepts, share knowledge, and make learning more enjoyable.
5. Review and practice: Create a study schedule and allocate specific time for reviewing and practicing concepts. Start with the basics and gradually build up your understanding. Practice regularly to reinforce your learning.
6. Use online resources: There are numerous educational websites, videos, and interactive exercises available online that can help you understand complex topics. Utilize these resources to supplement your learning.
7. Don't be too hard on yourself: Remember, everyone makes mistakes. It's never too late to turn things around. Be patient with yourself and allow yourself the time needed to grasp the concepts. Believe in your ability to recover and succeed.
8. Develop good study habits: Establish a routine that includes regular study sessions, breaks, and adequate rest. Stay organized, take notes, and actively engage with the material to enhance comprehension.
9. Stay motivated: Set goals for yourself and celebrate small victories along the way. Surround yourself with positive influences and remind yourself of the benefits of learning and understanding the material.
Remember, the journey to get back on track may take time, effort, and dedication. However, with persistence and the right support, you can regain your understanding and confidence in the subject matter.