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Add the following fractions: a) 1/2 + 1/2, b) 2/5 + 1/5, c) 3/8 + 2/8, d) 2/7 + 3/7, e) 2/9 + 5/9, f) 3/10 + 2/10, g) 3/11 + 5/11 + 2/11
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Step-by-step solution
43 stepsHere are the solutions to the fraction problems:
1. Add the following fractions.
a)
Add the numerators since the denominators are the same.
Simplify the fraction.
1
b)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{3}{5}
c)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{5}{8}
d)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{5}{7}
e)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{7}{9}
f)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{1}{2}
g)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{10}{11}
h)
Add the numerators since the denominators are the same.
Simplify the fraction.
\frac{11}{12}
2. Subtract the following fractions.
a)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{1}{4}
b)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{1}{5}
c)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{2}{7}
d)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{3}{4}
e)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{1}{6}
f)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{2}{11}
g)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{1}{3}
h)
Subtract the numerators since the denominators are the same.
Simplify the fraction.
\frac{5}{12}
3. Insert the correct symbol (+ or -).
a)
Determine the operation that makes the equation true.
Since , the symbol is .
+b)
Determine the operation that makes the equation true.
Since , the symbol is .
c)
Determine the operation that makes the equation true.
Since , the symbol is .
d)
Determine the operation that makes the equation true.
Since , the symbol is .
+e)
Determine the operation that makes the equation true.
Since , and , the symbol is .
+4. What fraction of the pizza is eaten? What fraction is left?
a) (This example is done for you in the image)
Fraction eaten:
Fraction left:b)
Observe the pizza.
It is divided into 4 equal parts, and 1 part is missing.
Fraction eaten:Calculate the fraction left.
Fraction left:
c)
Observe the pizza.
It is divided into 2 equal parts, and 1 part is missing.
Fraction eaten:Calculate the fraction left.
Fraction left:
d)
Observe the pizza.
It is divided into 2 equal parts, and 1 part is missing.
Fraction eaten:Calculate the fraction left.
Fraction left:
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