Home
Class 6
MATHS
Write True or False. 4/6 lt 7/8...

Write True or False.
`4/6 lt 7/8`

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether the statement \( \frac{4}{6} < \frac{7}{8} \) is true or false, we can follow these steps: ### Step 1: Cross-Multiply To compare the two fractions, we can cross-multiply. This means we will multiply the numerator of the first fraction by the denominator of the second fraction and vice versa. \[ 4 \times 8 \quad \text{and} \quad 7 \times 6 \] ### Step 2: Calculate the Products Now, we will calculate the products from the cross-multiplication. \[ 4 \times 8 = 32 \] \[ 7 \times 6 = 42 \] ### Step 3: Compare the Results Next, we compare the two results obtained from the cross-multiplication. \[ 32 < 42 \] ### Step 4: Conclusion Since \( 32 < 42 \) is true, we can conclude that the original statement \( \frac{4}{6} < \frac{7}{8} \) is also true. ### Final Answer Thus, the statement \( \frac{4}{6} < \frac{7}{8} \) is **True**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

For the following statements write True (T) or False (F). If the statement is false, correct the statement. -8 is to the right of -10 on a number line.

State True or False: If b_(xy) lt 0 and b_(yx) lt 0 then ‘r’ is gt0

State True or False : The square of 2.8 is 78.4.

Write True (T) or False (F) against each of the following statements : 8:9 :: 24 : 27

Write True (T) or False (F) against each of the following statements. 8 : 9 :: 24 : 27

Write True (T) or False (F) against each of the following statements : 21 : 6 :: 35 : 10

Write True (T) or False (F) against each of the following statements. 21 : 6 :: 35 : 10

Classify : "True or False" 2+7 = 6

Write the component statements of the following compound statements and check whether the compound statement is true or false: 125 is a multiple of 7 or 8. Mumbai is the capital of Gujrat or Maharashtra.