YOU SAID:
I am riding a bike to school
INTO JAPANESE
私は自転車に乗って学校に通っています
BACK INTO ENGLISH
I ride my bicycle to school.
INTO JAPANESE
私は自転車に乗って学校に行きます。
BACK INTO ENGLISH
I go to school by bicycle.
INTO JAPANESE
私は自転車で学校に行きます。
BACK INTO ENGLISH
I go to school by bicycle.
That didn't even make that much sense in English.