To find the decimal equivalent of the fraction \( \frac{7}{16} \) and round it to two decimal places, we will follow a step-by-step 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. - This can be done using long division or a calculator. Using long division: - 16 goes into 7 zero times, so we write 0. and add a decimal point. - We then consider 70 (adding a zero to 7). - 16 goes into 70 four times (since \( 16 \times 4 = 64 \)). - Subtract 64 from 70, which gives us 6. - Bring down another 0 to make it 60. - 16 goes into 60 three times (since \( 16 \times 3 = 48 \)). - Subtract 48 from 60, which gives us 12. - Bring down another 0 to make it 120. - 16 goes into 120 seven times (since \( 16 \times 7 = 112 \)). - Subtract 112 from 120, which gives us 8. - Bring down another 0 to make 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: Round 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 - **A. 0.43**: This option is incorrect because it does not account for the rounding of the second decimal place. The correct rounding leads to 0.44, not 0.43. - **C. 0.45**: This option is incorrect as it suggests rounding up too much. The correct rounding from 0.4375 is to 0.44, not 0.45. - **D. 0.46**: This option is also incorrect. It implies an even higher rounding than necessary. The correct rounding from 0.4375 is to 0.44. ### Revision Summary - To convert a fraction to a decimal, divide the numerator by the denominator. - Round the decimal to the desired number of decimal places by checking the next digit. - If the next digit is 5 or greater, round up the last retained digit. - The decimal equivalent of \( \frac{7}{16} \) rounded to two decimal places is 0.44.