Write 10 3/7 as an improper fraction?
The correct answer and explanation is:
Correct Answer:
10 3/7 as an improper fraction is 73/7.
Explanation:
To convert a mixed number like 10 3/7 to an improper fraction, follow these steps:
- Understand the parts of the mixed number:
A mixed number has a whole number part and a fractional part.
In 10 3/7:- The whole number is 10.
- The fraction is 3/7.
- Convert the whole number to a fraction with the same denominator:
Multiply the whole number by the denominator of the fraction.
10 × 7 = 70.
This means 10 equals 70/7. - Add the numerator of the fractional part:
Take the 70/7 and add the 3 (which is the numerator of 3/7):
70 + 3 = 73. - Place the result over the original denominator:
The denominator remains the same as in the original fraction, which is 7.
So, the improper fraction is 73/7.
Improper fractions are useful in many situations, especially in arithmetic and algebra, because they make it easier to perform operations like multiplication, division, and comparison. Mixed numbers are more intuitive for measuring or expressing quantities, but when performing calculations, converting to improper fractions avoids the need to treat the whole number and fraction separately.
This method applies to any mixed number. Just multiply the whole number by the denominator, add the numerator, and keep the same denominator. It helps simplify expressions and solve math problems more efficiently. So, 10 3/7 becomes 73/7 when expressed as an improper fraction.