The two fractions have like denominators so you can add the numerators.
3 + 1/5= 4/5
This fraction cannot be reduced.
3/5 + 1/5= 4/5
2.) Solution:
(First Convert mixed fraction to improper fraction: 1 1/2= 3/2) The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/2, 3/4) = 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.
(3/2 × 2/2) + (3/4 × 1/1)= ?
Complete the multiplication and the equation becomes
6/4 + 3/4= ?
The two fractions now have like denominators so you can add the numerators.
6 + 3/4= 9/4
This fraction cannot be reduced.
The fraction 9/4 is the same as 9 ÷ 4
Convert to a mixed number using
long division for 9 ÷ 4 = 2R1, so :
9/4= 2 1/4
1 1/2 + 3/4= 2 1/4
3.) Solution:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(6/7, 1/2) = 14
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.
(6/7 × 2/2) - (1/2 × 7/7)= ?
Complete the multiplication and the equation becomes
12/14 - 7/14= ?
The two fractions now have like denominators so you can subtract the numerators.
12 - 7/14= 5/14
This fraction cannot be reduced.
6/7 - 1/2= 5/14
4.) Solution:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
11/8 × 2/5= 22/40
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 22 and 40 using
GCF(22,40) = 2
22/40 ÷ 2/2= 11/20
11/8 × 2/5= 11/20
5.) Solution:
(First Convert mixed fraction to improper fraction: 2 1/3= 7/3) Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/3 × 4/1= ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
Answers & Comments
Answer:
1.) 3/5 + 1/5= 4/5
2.) 1 1/2 + 3/4= 2 1/4
3.) 6/7 - 1/2= 5/14
4.) 11/8 × 2/5= 11/20
5.) 2 1/3 ÷ 1/4= 9 1/3
Step-by-step explanation:
1.) Solution:
The two fractions have like denominators so you can add the numerators.
3 + 1/5= 4/5
This fraction cannot be reduced.
3/5 + 1/5= 4/5
2.) Solution:
(First Convert mixed fraction to improper fraction: 1 1/2= 3/2) The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/2, 3/4) = 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.
(3/2 × 2/2) + (3/4 × 1/1)= ?
Complete the multiplication and the equation becomes
6/4 + 3/4= ?
The two fractions now have like denominators so you can add the numerators.
6 + 3/4= 9/4
This fraction cannot be reduced.
The fraction 9/4 is the same as 9 ÷ 4
Convert to a mixed number using
long division for 9 ÷ 4 = 2R1, so :
9/4= 2 1/4
1 1/2 + 3/4= 2 1/4
3.) Solution:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(6/7, 1/2) = 14
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.
(6/7 × 2/2) - (1/2 × 7/7)= ?
Complete the multiplication and the equation becomes
12/14 - 7/14= ?
The two fractions now have like denominators so you can subtract the numerators.
12 - 7/14= 5/14
This fraction cannot be reduced.
6/7 - 1/2= 5/14
4.) Solution:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
11/8 × 2/5= 22/40
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 22 and 40 using
GCF(22,40) = 2
22/40 ÷ 2/2= 11/20
11/8 × 2/5= 11/20
5.) Solution:
(First Convert mixed fraction to improper fraction: 2 1/3= 7/3) Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/3 × 4/1= ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7/3 × 4/1= 28/3
This fraction cannot be reduced.
The fraction 28/3 is the same as 28 ÷ 3
Convert to a mixed number using
long division for 28 ÷ 3 = 9R1, so:
28/3= 9 1/3
2 1/3 ÷ 1/4= 9 1/3
(Hope it helps :D, #CarryOnLearning!!)