why1\7 is greater than 1\10

because 1/7 - 1/10 is positive

Think of dividing a pie into several equal pieces. Clearly, the more pieces you cut, the smaller each one is. For fractions with equal numerators, the larger the denominator, the smaller the value.

To understand why 1/7 is greater than 1/10, we need to compare the two fractions.

One way to compare fractions is by finding a common denominator. In this case, we can find a common denominator by calculating the least common multiple (LCM) of the denominators, which in this case is 70.

To convert 1/7 to a fraction with a denominator of 70, we multiply both the numerator and denominator by 10. This gives us 10/70.

To convert 1/10 to a fraction with a denominator of 70, we multiply both the numerator and denominator by 7. This gives us 7/70.

Now we can see that 10/70 (equivalent to 1/7) is greater than 7/70 (equivalent to 1/10).

In simpler terms, since 1/7 has a larger denominator than 1/10, each part (in this case, each fraction) is smaller, making 1/7 greater than 1/10.