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Visual Worksheet: Adding and Subtracting Fractions

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 Page 1


Name:
1 . 2 .
3 . 4 .
5 . 6 .
ADDING FRACTIONS
Solve each problem and simplify your answer to lowest terms.
1
5
+
=
3
2
7
2
4
+
=
2
8
1
3
+
=
1
3
8
2
5
32
+
=
6
8
1
6
+
=
3
3
4
6
1
3
+
=
7
1
2
Page 2


Name:
1 . 2 .
3 . 4 .
5 . 6 .
ADDING FRACTIONS
Solve each problem and simplify your answer to lowest terms.
1
5
+
=
3
2
7
2
4
+
=
2
8
1
3
+
=
1
3
8
2
5
32
+
=
6
8
1
6
+
=
3
3
4
6
1
3
+
=
7
1
2
Name:
1 . 2 .
3 . 4 .
5 . 6 .
1
5
3
1
3
-
1
5
32
-
1
6
-
3
1
3
7
SUBTRACTING FRACTIONS
Solve each problem and simplify your answer to lowest terms.
-
=
2
7
2
4
-
=
2
8
=
3
8
2
=
6
8
=
3
4
6
-
=
1
2
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FAQs on Visual Worksheet: Adding and Subtracting Fractions

1. What are the steps to add fractions with different denominators?
Ans. To add fractions with different denominators, first, find a common denominator by determining the least common multiple (LCM) of the denominators. Next, convert each fraction to an equivalent fraction with the common denominator. Finally, add the numerators of the converted fractions and keep the common denominator. Simplify the resulting fraction if possible.
2. How do I subtract fractions with unlike denominators?
Ans. To subtract fractions with unlike denominators, start by finding a common denominator by calculating the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with the common denominator. Then, subtract the numerators of the converted fractions while keeping the common denominator. Simplify the result if necessary.
3. Can you explain how to simplify a fraction after adding or subtracting?
Ans. After adding or subtracting fractions, to simplify the resulting fraction, divide both the numerator and the denominator by their greatest common factor (GCF). This will reduce the fraction to its simplest form. If the numerator is larger than the denominator, you may also convert it to a mixed number.
4. What if I have mixed numbers to add or subtract?
Ans. To add or subtract mixed numbers, first convert them into improper fractions. Then, follow the steps for adding or subtracting fractions as outlined above. After obtaining the result, convert the improper fraction back into a mixed number if desired.
5. Are there any tips for quickly finding the least common denominator?
Ans. Yes, a quick way to find the least common denominator (LCD) is to list the multiples of each denominator until you find the smallest common multiple. Alternatively, you can use the prime factorization method, where you factor each denominator into primes and then use the highest powers of all prime factors involved to calculate the LCD.
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