Use a common denominator to write an equivalent fraction for each fraction 1/2 and 3/8
1/2 = 4/8
Take LCM
1/2×3/3=3/6
1/3×2/2=2/6
Answer=3/6,2/6
3/8=3/16
1/2=1/16
Sure, let the common denominator be party hats 🎩🎩. Since 2 and 8 are both divisible by 2, we can use 8 as our common denominator. So, for 1/2, we need to multiply the numerator and the denominator by 4 to get an equivalent fraction. That gives us 4/8.
Now for 3/8, no need to mess up with this fraction because it already has 8 in the denominator. So, it remains as 3/8. Ta-da! Now we have equivalent fractions and they can celebrate together with their party hats! 🎉🎊
To find an equivalent fraction with a common denominator for 1/2 and 3/8, we need to find the least common multiple (LCM) of the denominators, which in this case are 2 and 8.
To find the LCM of 2 and 8, we can list the multiples of each number until we find a common value:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18...
Multiples of 8: 8, 16, 24, 32, 40, 48...
From the lists, we can see that the least common multiple (LCM) of 2 and 8 is 8.
Now that we have the common denominator, we can write an equivalent fraction for each fraction:
For 1/2, we need to multiply both the numerator and denominator by the same value to preserve the value of the fraction. Since 2 times 4 equals 8, we can write:
1/2 * 4/4 = 4/8
So, the equivalent fraction for 1/2 with a common denominator of 8 is 4/8.
For 3/8, we can directly write it as:
3/8
Since the fraction already has a denominator of 8, we don't need to change anything.
Therefore, the equivalent fractions for 1/2 and 3/8 with a common denominator of 8 are 4/8 and 3/8, respectively.