Use long division to convert 27/50 to a decimal.
.54
3.375
0.27
0.63
5.1875
The answers to "Write fractions as decimals quick check unit 3 lesson 9 7th grade Connexus"
1. 0.54
2. 3.375
3. 0.27
4. 0.63
5. 5.1875
Hope this helps <3
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Write the fraction as a division problem, with the numerator (top number) as the dividend and the denominator (bottom number) as the divisor. In this case, it would be: 27 ÷ 50.
Step 2: Perform long division by dividing the numerator by the denominator. Start with the leftmost digit of the numerator (2) and divide it by the denominator (5). The result is the quotient (how many times the denominator can fit into the numerator), which you write above the division symbol. In this case, 2 ÷ 5 = 0.4, so you write 0.4 as the first digit of the quotient.
Step 3: Multiply the denominator (50) with the first digit of the quotient (0.4) and subtract the result from the numerator (27). Write the difference below the division line.
0.4
____________
50 | 27.0
- 25.0
______
2.0
Step 4: Bring down the next digit from the numerator (0) and combine it with the difference. Now the new number becomes 20.
0.4
____________
50 | 27.00
- 25.00
________
20
Step 5: Divide the new number (20) by the denominator (50) and write the result (the next digit of the quotient) above the division line. In this case, 20 ÷ 50 = 0.4, so you write 0.4 as the next digit of the quotient.
0.44
____________
50 | 27.00
- 25.00
________
20
Step 6: Repeat steps 3 to 5 until either you reach a desired level of accuracy or the division terminates (meaning the remainder becomes zero or starts repeating). In this case, the remainder is zero, so we can stop here.
Step 7: The final quotient is the decimal form of the fraction. In this case, 27/50 as a decimal is 0.54.
Therefore, 27/50 is equal to 0.54 as a decimal.
To convert 27/50 to a decimal using long division, follow these steps:
1. Start by setting up the division: write 27 as the dividend and 50 as the divisor, with a line separating them.
0.54 ← quotient so far
───────────
50 │ 27
2. Divide the first digit of the dividend (2) by the divisor (50). The result is 0. Write this digit above the line as the first decimal place.
0.54 ← quotient so far
───────────
50 │ 27
0
3. Multiply the result from step 2 (0) by the divisor (50), and subtract it from the first digit of the dividend (27). Write the new value (27 - 0 = 27) below the line.
0.54 ← quotient so far
───────────
50 │ 27
0
───────────
27
4. Bring down the next digit from the dividend (7) and write it next to the current value below the line. This forms the new dividend (277).
0.54 ← quotient so far
───────────
50 │ 27
0
───────────
27
7
5. Divide the new digit (7) of the dividend by the divisor (50). The result is 0. Write this digit above the line as the next decimal place.
0.54 ← quotient so far
───────────
50 │ 27
0
───────────
27
7
0
6. Multiply the result from step 5 (0) by the divisor (50), and subtract it from the new dividend (277 - 0 = 277). Write the new value (277 - 0 = 277) below the line.
0.54 ← quotient so far
───────────
50 │ 27
0
───────────
27
7
0
───────────
277
7. Repeat steps 4-6 until there are no more digits to bring down.
Since 277 is the same as the original dividend, we can see that the decimal representation of 27/50 is 0.54.