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Answer :
Sure, let's verify each fraction and its decimal equivalent using long division:
1. Fraction: [tex]\(\frac{3}{4}\)[/tex] and Decimal: 0.75
- Divide 3 by 4 using long division:
- 4 goes into 3 zero times, so we consider 30 (add a decimal and zero).
- 4 goes into 30 seven times (4 x 7 = 28).
- Subtract 28 from 30, which leaves 2.
- Bring down another zero to have 20.
- 4 goes into 20 five times (4 x 5 = 20).
- Subtract 20 from 20, which leaves 0.
- The result of dividing 3 by 4 is 0.75, confirming they are equal.
2. Fraction: [tex]\(\frac{3}{50}\)[/tex] and Decimal: 0.06
- Divide 3 by 50 using long division:
- 50 goes into 3 zero times, so consider 30 (add a decimal and zero).
- 50 goes into 30 zero times, so add another zero to make it 300.
- 50 goes into 300 six times (50 x 6 = 300).
- Subtract 300 from 300, which leaves 0.
- The result of dividing 3 by 50 is 0.06, confirming they are equal.
3. Fraction: [tex]\(\frac{1}{25}\)[/tex] and Decimal: 0.04
- Divide 1 by 25 using long division:
- 25 goes into 1 zero times, so consider 10 (add a decimal and zero).
- 25 goes into 10 zero times, so consider 100 (add another zero).
- 25 goes into 100 four times (25 x 4 = 100).
- Subtract 100 from 100, which leaves 0.
- The result of dividing 1 by 25 is 0.04, confirming they are equal.
Each pair has been verified, and the fractions and decimals are indeed equal.
1. Fraction: [tex]\(\frac{3}{4}\)[/tex] and Decimal: 0.75
- Divide 3 by 4 using long division:
- 4 goes into 3 zero times, so we consider 30 (add a decimal and zero).
- 4 goes into 30 seven times (4 x 7 = 28).
- Subtract 28 from 30, which leaves 2.
- Bring down another zero to have 20.
- 4 goes into 20 five times (4 x 5 = 20).
- Subtract 20 from 20, which leaves 0.
- The result of dividing 3 by 4 is 0.75, confirming they are equal.
2. Fraction: [tex]\(\frac{3}{50}\)[/tex] and Decimal: 0.06
- Divide 3 by 50 using long division:
- 50 goes into 3 zero times, so consider 30 (add a decimal and zero).
- 50 goes into 30 zero times, so add another zero to make it 300.
- 50 goes into 300 six times (50 x 6 = 300).
- Subtract 300 from 300, which leaves 0.
- The result of dividing 3 by 50 is 0.06, confirming they are equal.
3. Fraction: [tex]\(\frac{1}{25}\)[/tex] and Decimal: 0.04
- Divide 1 by 25 using long division:
- 25 goes into 1 zero times, so consider 10 (add a decimal and zero).
- 25 goes into 10 zero times, so consider 100 (add another zero).
- 25 goes into 100 four times (25 x 4 = 100).
- Subtract 100 from 100, which leaves 0.
- The result of dividing 1 by 25 is 0.04, confirming they are equal.
Each pair has been verified, and the fractions and decimals are indeed equal.
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