show me all equivalent fraction using 42as a common denominator also add 6/7 and 4/6

5 answers

To find all equivalent fractions using 42 as a common denominator, we need to first find the equivalent fractions for both 6/7 and 4/6:

For 6/7:
To convert 7 into 42, we multiply both the numerator and denominator by 6:
6/7 * 6/6 = 36/42
So, 6/7 is equivalent to 36/42 when the common denominator is 42.

For 4/6:
To convert 6 into 42, we multiply both the numerator and denominator by 7:
4/6 * 7/7 = 28/42
So, 4/6 is equivalent to 28/42 when the common denominator is 42.

Therefore, all equivalent fractions using 42 as a common denominator for 6/7 and 4/6 are:
6/7 = 36/42
4/6 = 28/42
do he same thing with 36 and add 1/4 and 3/9
To find all equivalent fractions using 36 as a common denominator, we first need to find the equivalent fractions for both 1/4 and 3/9:

For 1/4:
To convert 4 into 36, we multiply both the numerator and denominator by 9:
1/4 * 9/9 = 9/36
So, 1/4 is equivalent to 9/36 when the common denominator is 36.

For 3/9:
To convert 9 into 36, we multiply both the numerator and denominator by 4:
3/9 * 4/4 = 12/36
So, 3/9 is equivalent to 12/36 when the common denominator is 36.

Therefore, all equivalent fractions using 36 as a common denominator for 1/4 and 3/9 are:
1/4 = 9/36
3/9 = 12/36
now 40 add 6/8 and 4/5
To find all equivalent fractions using 40 as a common denominator, we first need to find the equivalent fractions for both 6/8 and 4/5:

For 6/8:
To convert 8 into 40, we multiply both the numerator and denominator by 5:
6/8 * 5/5 = 30/40
So, 6/8 is equivalent to 30/40 when the common denominator is 40.

For 4/5:
To convert 5 into 40, we multiply both the numerator and denominator by 8:
4/5 * 8/8 = 32/40
So, 4/5 is equivalent to 32/40 when the common denominator is 40.

Therefore, all equivalent fractions using 40 as a common denominator for 6/8 and 4/5 are:
6/8 = 30/40
4/5 = 32/40