To find the decimal equivalent of the fraction \( \frac{7}{16} \) and round it to two decimal places, we will follow a systematic approach. ### Step 1: Convert the Fraction to Decimal To convert the fraction \( \frac{7}{16} \) into a decimal, we can perform the division of the numerator (7) by the denominator (16). 1. **Perform the Division**: - Divide 7 by 16. - Since 7 is less than 16, we start with 0. - We can add a decimal point and zeros to 7 to continue the division: \( 7.000 \div 16 \). 2. **Long Division**: - 16 goes into 70 four times (since \( 16 \times 4 = 64 \)). - Subtract 64 from 70, which gives us 6. - Bring down the next 0 (making it 60). - 16 goes into 60 three times (since \( 16 \times 3 = 48 \)). - Subtract 48 from 60, which gives us 12. - Bring down the next 0 (making it 120). - 16 goes into 120 seven times (since \( 16 \times 7 = 112 \)). - Subtract 112 from 120, which gives us 8. - Bring down the next 0 (making it 80). - 16 goes into 80 five times (since \( 16 \times 5 = 80 \)). - Subtract 80 from 80, which gives us 0. So, the division gives us: \[ \frac{7}{16} = 0.4375 \] ### Step 2: Rounding to Two Decimal Places Now that we have the decimal equivalent \( 0.4375 \), we need to round it to two decimal places. 1. **Identify the Third Decimal Place**: - The first two decimal places are 43 (from 0.43). - The third decimal place is 7 (from 0.4375). 2. **Apply Rounding Rules**: - According to rounding rules, if the digit in the third decimal place (7) is 5 or greater, we round up the second decimal place (3) by 1. - Since 7 is greater than 5, we round up 3 to 4. Thus, rounding \( 0.4375 \) to two decimal places gives us: \[ 0.44 \] ### Conclusion: Correct Option The correct option is **B. 0.44**. ### Explanation of Other Options - **Option A: 0.42**: This is incorrect because it rounds down instead of up. The correct rounding of 0.4375 should lead to 0.44, not 0.42. - **Option C: 0.46**: This is incorrect as it rounds up too much. The correct rounding of 0.4375 does not reach 0.46. - **Option D: 0.48**: This is also incorrect as it is significantly higher than the actual value of 0.4375. ### Revision Summary - To convert a fraction to a decimal, divide the numerator by the denominator. - Use long division to find the decimal equivalent accurately. - When rounding, look at the digit immediately after the place you are rounding to. - If that digit is 5 or greater, round up; otherwise, round down. By following these steps, you can confidently convert fractions to decimals and round them correctly!