The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(5/2, 1/4) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(52×22)+(14×11)=?
Complete the multiplication and the equation becomes
104+14=?
The two fractions now have like denominators so you can add the numerators.
Then:
10+14=11/4
This fraction cannot be reduced.
The fraction
11/4
is the same as
11÷4
Convert to a mixed number using
long division for 11 ÷ 4 = 2R3, so
11/4=2 3/4
Therefore:
5/2+1/4=2 3/4
Solution by Formulas
Apply the fractions formula for addition, to
5/2+1/4
and solve
(5×4)+(1×2)2×4
=20+2 8
=22/8
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(22,8) = 2
Answers & Comments
Answer:
2 3/4
Step-by-step explanation:
52+14=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(5/2, 1/4) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(52×22)+(14×11)=?
Complete the multiplication and the equation becomes
104+14=?
The two fractions now have like denominators so you can add the numerators.
Then:
10+14=11/4
This fraction cannot be reduced.
The fraction
11/4
is the same as
11÷4
Convert to a mixed number using
long division for 11 ÷ 4 = 2R3, so
11/4=2 3/4
Therefore:
5/2+1/4=2 3/4
Solution by Formulas
Apply the fractions formula for addition, to
5/2+1/4
and solve
(5×4)+(1×2)2×4
=20+2 8
=22/8
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(22,8) = 2
22÷28÷2=114
Convert to a mixed number using
long division for 11 ÷ 4 = 2R3, so
11/4=2 3/4
Therefore:
5/2+1/4=2 3/4