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-5 - 3 - 4/5 + 7/10 + 3/7 + 5/14
From chapter 1 Rational numbers class 8 mathematics?
From chapter 1 Rational numbers class 8 mathematics?
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-5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class...
Understanding the Expression
To solve the expression -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14, we first need to convert all the fractions to a common denominator for easier addition and subtraction.
Step 1: Convert Whole Numbers to Fractions
- Convert -5 and -3 into fractions:
- -5 = -5/1
- -3 = -3/1
Step 2: Find the Common Denominator
- The denominators are 1, 5, 10, 7, and 14. The least common multiple (LCM) is 70.
Step 3: Convert Each Fraction
- Convert -5/1 to -350/70
- Convert -3/1 to -210/70
- Convert -4/5 to -56/70
- Convert 7/10 to 49/70
- Convert 3/7 to 30/70
- Convert 5/14 to 25/70
Step 4: Rewrite the Expression
Now, rewrite the expression using the common denominator:
-350/70 - 210/70 - 56/70 + 49/70 + 30/70 + 25/70
Step 5: Combine All Terms
Now, combine the fractions:
- (-350 - 210 - 56 + 49 + 30 + 25) / 70
Calculate the numerator:
- -350 - 210 = -560
- -560 - 56 = -616
- -616 + 49 = -567
- -567 + 30 = -537
- -537 + 25 = -512
Final Result
So, we have:
-512/70
Now, simplify it:
-512 ÷ 2 = -256
-70 ÷ 2 = 35
Thus, the final answer is:
-256/35
To solve the expression -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14, we first need to convert all the fractions to a common denominator for easier addition and subtraction.
Step 1: Convert Whole Numbers to Fractions
- Convert -5 and -3 into fractions:
- -5 = -5/1
- -3 = -3/1
Step 2: Find the Common Denominator
- The denominators are 1, 5, 10, 7, and 14. The least common multiple (LCM) is 70.
Step 3: Convert Each Fraction
- Convert -5/1 to -350/70
- Convert -3/1 to -210/70
- Convert -4/5 to -56/70
- Convert 7/10 to 49/70
- Convert 3/7 to 30/70
- Convert 5/14 to 25/70
Step 4: Rewrite the Expression
Now, rewrite the expression using the common denominator:
-350/70 - 210/70 - 56/70 + 49/70 + 30/70 + 25/70
Step 5: Combine All Terms
Now, combine the fractions:
- (-350 - 210 - 56 + 49 + 30 + 25) / 70
Calculate the numerator:
- -350 - 210 = -560
- -560 - 56 = -616
- -616 + 49 = -567
- -567 + 30 = -537
- -537 + 25 = -512
Final Result
So, we have:
-512/70
Now, simplify it:
-512 ÷ 2 = -256
-70 ÷ 2 = 35
Thus, the final answer is:
-256/35
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-5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics?
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-5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics?.
-5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for -5 - 3 - 4/5 + 7/10 + 3/7 + 5/14 From chapter 1 Rational numbers class 8 mathematics?.
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