Change 1.4 to a fraction.
Answer (2)
Convert the decimal 1.4 to a fraction: 1.4 = 10 14 .
Simplify the fraction by dividing both numerator and denominator by their GCD (which is 2): 10 14 = 5 7 .
Convert the improper fraction 5 7 to a mixed number: 5 7 = 1 5 2 .
The final answer is 1 5 2 .
Explanation
Converting Decimal to Fraction We need to convert the decimal 1.4 into a fraction. Let's start by expressing 1.4 as a fraction with a denominator of 10. This gives us 10 14 .
Simplifying the Fraction Now, we simplify the fraction 10 14 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 14 and 10 is 2. Dividing both by 2, we get 10 ÷ 2 14 ÷ 2 = 5 7 .
Converting to Mixed Number Next, we convert the improper fraction 5 7 to a mixed number. To do this, we divide 7 by 5. We have 7 = 5 × 1 + 2 . So, 5 7 = 1 5 2 .
Final Answer Finally, we compare our result 1 5 2 with the given options. The matching option is 1 5 2 .
Examples
Understanding how to convert decimals to fractions is useful in many real-life situations. For example, if you want to measure ingredients for a recipe, you might need to convert a decimal measurement like 1.4 cups into a fraction, which would be 1 5 2 cups. This helps in accurately measuring and combining ingredients. Another example is when calculating discounts or sales tax, where you might need to convert a decimal percentage into a fraction to determine the exact amount to add or subtract.
To convert 1.4 to a fraction, first express it as 10 14 and simplify to 5 7 . Alternatively, it can be expressed as the mixed number 1 5 2 . Both forms are correct representations of the decimal 1.4.
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