IGCSE /Grade 6
Maths MCQ Based On Adding three or more fractions with different denominators
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IGCSE Grade 6 Maths Adding three or more fractions with different denominators
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Find the least common multiple of the denominators. Then make the denominators same by multiplying with a required number, and multiply the same number with the numerator also. Then add the numerators and keep the denominator same.
Make the denominators same.
Find the least common multiple of the denominators. Then make the denominators same by multiplying with a required number, and multiply the same number with the numerator also. Then add the numerators and keep the denominator same.
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7, 12, 5, and 8 is 840.
Converting the fractions to have a denominator of 840: 2/7 = 240/840 5/12 = 350/840 3/5 = 504/840 1/8 = 105/840
Now, we can add the fractions: 240/840 + 350/840 + 504/840 + 105/840
Adding the numerators: (240 + 350 + 504 + 105)/840 = 1199/840
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 7: 1199 ÷ 7 / 840 ÷ 7 = 171/120
The fraction 171/120 can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3: 171 ÷ 3 / 120 ÷ 3 = 57/40
So, the final answer is 57/40.
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is the least common multiple (LCM) of the denominators 3, 7, 11, and 13, which is 3,003.
Now, we'll convert each fraction to have a denominator of 3,003:
The fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 401 in this case. So the final answer is:
7,202/3,003
Add the numerators after making the denominators same.
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is the least common multiple (LCM) of the denominators 3, 5, 7, 9, and 11, which is 6,930.
Now, we'll convert each fraction to have a denominator of 6,930:
The fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case. So the final answer is:
14,288/6,930.
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is the least common multiple (LCM) of the denominators 2, 5, 10, 15, and 20, which is 60.
Now, we'll convert each fraction to have a denominator of 60:
1/2 = 30/60
3/5 = 30/60
7/10=42/60
11/15=44/60
13/20=39/60
Now, we can add the fractions:
30/60+36/60+42/60+44/60+39/60=191/60
The fraction cannot be simplified any further, so the final answer is: 191/60​
Find the least common multiple of the denominators.
Make the denominators same.
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