Use the LCD to write the equivalent fractions
1/3 and 1/4
7/8 and 2/3
1/3 and 1/4 = 4/12 and 3/12
I'll be glad to check your answer for the second set of fractions.
http://www.mathsisfun.com/equivalent_fractions.html
To find the least common denominator (LCD) for fractions, follow these steps:
For 1/3 and 1/4:
Step 1: List the multiples of each denominator:
Multiples of 3: 3, 6, 9, 12, 15, ...
Multiples of 4: 4, 8, 12, 16, 20, ...
Step 2: Identify the least common multiple (LCM) of the two denominators from the common multiples list:
The LCM of 3 and 4 is 12.
Step 3: Rewrite the fractions using the LCD (12) as the denominator:
1/3 = (1/3) * (4/4) = 4/12
1/4 = (1/4) * (3/3) = 3/12
Therefore, the equivalent fractions for 1/3 are 4/12 and for 1/4 are 3/12.
For 7/8 and 2/3:
Step 1: List the multiples of each denominator:
Multiples of 8: 8, 16, 24, 32, 40, ...
Multiples of 3: 3, 6, 9, 12, 15, ...
Step 2: Identify the least common multiple (LCM) of the two denominators from the common multiples list:
The LCM of 8 and 3 is 24.
Step 3: Rewrite the fractions using the LCD (24) as the denominator:
7/8 = (7/8) * (3/3) = 21/24
2/3 = (2/3) * (8/8) = 16/24
Therefore, the equivalent fractions for 7/8 are 21/24 and for 2/3 are 16/24.
To find the least common denominator (LCD) for fractions, you need to determine the lowest common multiple (LCM) of the denominators. Here's how to find the equivalent fractions using the LCD for each pair of fractions you provided:
1/3 and 1/4:
The denominators are 3 and 4. To find the LCM of 3 and 4, list the multiples of each number until you find a common multiple:
Multiples of 3: 3, 6, 9, 12, ...
Multiples of 4: 4, 8, 12, ...
The least common multiple of 3 and 4 is 12. So, the LCD for 1/3 and 1/4 is 12.
To convert 1/3 to an equivalent fraction with a denominator of 12, multiply both the numerator and denominator by 4:
1/3 * 4/4 = 4/12
To convert 1/4 to an equivalent fraction with a denominator of 12, multiply both the numerator and denominator by 3:
1/4 * 3/3 = 3/12
Therefore, the equivalent fractions for 1/3 and 1/4 with a LCD of 12 are 4/12 and 3/12.
7/8 and 2/3:
The denominators are 8 and 3. To find the LCM of 8 and 3, list the multiples of each number until you find a common multiple:
Multiples of 8: 8, 16, 24, 32, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
The least common multiple of 8 and 3 is 24. So, the LCD for 7/8 and 2/3 is 24.
To convert 7/8 to an equivalent fraction with a denominator of 24, multiply both the numerator and denominator by 3:
7/8 * 3/3 = 21/24
To convert 2/3 to an equivalent fraction with a denominator of 24, multiply both the numerator and denominator by 8:
2/3 * 8/8 = 16/24
Therefore, the equivalent fractions for 7/8 and 2/3 with an LCD of 24 are 21/24 and 16/24.