how to show that 7/8 is bigger than 5/6

Try simplifying them.

You need a common denominator. Make the common denominator 24, because both 8 and 6 can fit into 24.

7/8 = 21/24
5/6 = 20/24

To show that 7/8 is bigger than 5/6, we can compare their decimal representations or use cross multiplication.

1. Comparing decimal representations:
To compare 7/8 and 5/6, you can convert both fractions to decimals by dividing the numerator by the denominator. This will give you the decimal value for each fraction.

For 7/8: 7 ÷ 8 ≈ 0.875
For 5/6: 5 ÷ 6 ≈ 0.8333 (rounded to four decimal places)

Since 0.875 is greater than 0.8333, we can conclude that 7/8 is bigger than 5/6.

2. Using cross multiplication:
Cross multiplication is another method to compare fractions. Multiply the numerator of the first fraction by the denominator of the second fraction, and do the same for the second fraction. If the resulting products have the same sign, then the fraction with the larger product is the greater fraction.

For 7/8 and 5/6:
(7 × 6) - (5 × 8) = 42 - 40 = 2

The result is positive, indicating that 7/8 is greater than 5/6.

Both methods confirm that 7/8 is indeed bigger than 5/6.